Curved Surface Area of Frustum of Cone given Total Surface Area and Top Area Calculator

✖Total Surface Area of Frustum of Cone is the total quantity of plane enclosed on the entire surface of the Frustum of the Cone.ⓘ Total Surface Area of Frustum of Cone [TSA]			+10% -10%
✖Base Radius of Frustum of Cone is the distance between the center and any point on the circumference of the base circular surface of the Frustum of the Cone.ⓘ Base Radius of Frustum of Cone [r_Base]			+10% -10%
✖Top Area of Frustum of Cone is the total amount of two-dimensional space occupied by the top face of the Frustum of the Cone.ⓘ Top Area of Frustum of Cone [A_Top]			+10% -10%

✖Curved Surface Area of Frustum of Cone is the quantity of plane enclosed by curved surfaces (that is, top and bottom faces are excluded) of the Frustum of the Cone.ⓘ Curved Surface Area of Frustum of Cone given Total Surface Area and Top Area [CSA]

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Curved Surface Area of Frustum of Cone given Total Surface Area and Top Area

Formula

`"CSA" = "TSA"-(pi*"r"_{"Base"}^2)-"A"_{"Top"}`

Example

`"456.4602m²"="850m²"-(pi*("5m")^2)-"315m²"`

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Curved Surface Area of Frustum of Cone given Total Surface Area and Top Area Solution

STEP 0: Pre-Calculation Summary

Formula Used

Curved Surface Area of Frustum of Cone = Total Surface Area of Frustum of Cone-(pi*Base Radius of Frustum of Cone^2)-Top Area of Frustum of Cone
CSA = TSA-(pi*r_Base^2)-A_Top
This formula uses 1 Constants, 4 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Curved Surface Area of Frustum of Cone - (Measured in Square Meter) - Curved Surface Area of Frustum of Cone is the quantity of plane enclosed by curved surfaces (that is, top and bottom faces are excluded) of the Frustum of the Cone.
Total Surface Area of Frustum of Cone - (Measured in Square Meter) - Total Surface Area of Frustum of Cone is the total quantity of plane enclosed on the entire surface of the Frustum of the Cone.
Base Radius of Frustum of Cone - (Measured in Meter) - Base Radius of Frustum of Cone is the distance between the center and any point on the circumference of the base circular surface of the Frustum of the Cone.
Top Area of Frustum of Cone - (Measured in Square Meter) - Top Area of Frustum of Cone is the total amount of two-dimensional space occupied by the top face of the Frustum of the Cone.

STEP 1: Convert Input(s) to Base Unit

Total Surface Area of Frustum of Cone: 850 Square Meter --> 850 Square Meter No Conversion Required
Base Radius of Frustum of Cone: 5 Meter --> 5 Meter No Conversion Required
Top Area of Frustum of Cone: 315 Square Meter --> 315 Square Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

CSA = TSA-(pi*r_Base^2)-A_Top --> 850-(pi*5^2)-315

Evaluating ... ...

CSA = 456.460183660255

STEP 3: Convert Result to Output's Unit

456.460183660255 Square Meter --> No Conversion Required

FINAL ANSWER

456.460183660255 ≈ 456.4602 Square Meter <-- Curved Surface Area of Frustum of Cone

(Calculation completed in 00.004 seconds)

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Indian Institute of Technology, Indian School of Mines, DHANBAD (IIT ISM), Dhanbad, Jharkhand

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< 20 Curved Surface Area of Frustum of Cone Calculators

Curved Surface Area of Frustum of Cone given Volume, Top Area and Base Area

Go Curved Surface Area of Frustum of Cone = pi*(sqrt(Top Area of Frustum of Cone/pi)+sqrt(Base Area of Frustum of Cone/pi))*sqrt(((3*Volume of Frustum of Cone)/(pi*(Top Area of Frustum of Cone/pi+Base Area of Frustum of Cone/pi+(sqrt(Top Area of Frustum of Cone/pi)*sqrt(Base Area of Frustum of Cone/pi)))))^2+(sqrt(Top Area of Frustum of Cone/pi)-sqrt(Base Area of Frustum of Cone/pi))^2)

Curved Surface Area of Frustum of Cone given Volume and Base Area

Go Curved Surface Area of Frustum of Cone = pi*(Top Radius of Frustum of Cone+sqrt(Base Area of Frustum of Cone/pi))*sqrt(((3*Volume of Frustum of Cone)/(pi*(Top Radius of Frustum of Cone^2+Base Area of Frustum of Cone/pi+(sqrt(Base Area of Frustum of Cone/pi)*Top Radius of Frustum of Cone))))^2+(Top Radius of Frustum of Cone-sqrt(Base Area of Frustum of Cone/pi))^2)

Curved Surface Area of Frustum of Cone given Volume and Top Area

Go Curved Surface Area of Frustum of Cone = pi*(sqrt(Top Area of Frustum of Cone/pi)+Base Radius of Frustum of Cone)*sqrt(((3*Volume of Frustum of Cone)/(pi*(Top Area of Frustum of Cone/pi+Base Radius of Frustum of Cone^2+(sqrt(Top Area of Frustum of Cone/pi)*Base Radius of Frustum of Cone))))^2+(sqrt(Top Area of Frustum of Cone/pi)-Base Radius of Frustum of Cone)^2)

Curved Surface Area of Frustum of Cone given Volume

Go Curved Surface Area of Frustum of Cone = pi*(Top Radius of Frustum of Cone+Base Radius of Frustum of Cone)*sqrt(((3*Volume of Frustum of Cone)/(pi*(Top Radius of Frustum of Cone^2+Base Radius of Frustum of Cone^2+(Top Radius of Frustum of Cone*Base Radius of Frustum of Cone))))^2+(Top Radius of Frustum of Cone-Base Radius of Frustum of Cone)^2)

Curved Surface Area of Frustum of Cone given Base Area and Top Area

Go Curved Surface Area of Frustum of Cone = pi*(sqrt(Top Area of Frustum of Cone/pi)+sqrt(Base Area of Frustum of Cone/pi))*sqrt((sqrt(Top Area of Frustum of Cone/pi)-sqrt(Base Area of Frustum of Cone/pi))^2+Height of Frustum of Cone^2)

Curved Surface Area of Frustum of Cone given Base Area

Go Curved Surface Area of Frustum of Cone = pi*(Top Radius of Frustum of Cone+sqrt(Base Area of Frustum of Cone/pi))*sqrt((Top Radius of Frustum of Cone-sqrt(Base Area of Frustum of Cone/pi))^2+Height of Frustum of Cone^2)

Curved Surface Area of Frustum of Cone given Top Area

Go Curved Surface Area of Frustum of Cone = pi*(sqrt(Top Area of Frustum of Cone/pi)+Base Radius of Frustum of Cone)*sqrt((sqrt(Top Area of Frustum of Cone/pi)-Base Radius of Frustum of Cone)^2+Height of Frustum of Cone^2)

Curved Surface Area of Frustum of Cone given Slant Height, Height and Base Area

Go Curved Surface Area of Frustum of Cone = pi*(sqrt(Slant Height of Frustum of Cone^2-Height of Frustum of Cone^2)+2*sqrt(Base Area of Frustum of Cone/pi))*Slant Height of Frustum of Cone

Curved Surface Area of Frustum of Cone given Slant Height, Height and Top Area

Go Curved Surface Area of Frustum of Cone = pi*(2*sqrt(Top Area of Frustum of Cone/pi)-sqrt(Slant Height of Frustum of Cone^2-Height of Frustum of Cone^2))*Slant Height of Frustum of Cone

Curved Surface Area of Frustum of Cone

Go Curved Surface Area of Frustum of Cone = pi*(Top Radius of Frustum of Cone+Base Radius of Frustum of Cone)*sqrt((Top Radius of Frustum of Cone-Base Radius of Frustum of Cone)^2+Height of Frustum of Cone^2)

Curved Surface Area of Frustum of Cone given Slant Height, Base Area and Top Area

Go Curved Surface Area of Frustum of Cone = pi*(sqrt(Top Area of Frustum of Cone/pi)+sqrt(Base Area of Frustum of Cone/pi))*Slant Height of Frustum of Cone

Curved Surface Area of Frustum of Cone given Slant Height, Height and Base Radius

Go Curved Surface Area of Frustum of Cone = pi*(sqrt(Slant Height of Frustum of Cone^2-Height of Frustum of Cone^2)+2*Base Radius of Frustum of Cone)*Slant Height of Frustum of Cone

Curved Surface Area of Frustum of Cone given Slant Height, Height and Top Radius

Go Curved Surface Area of Frustum of Cone = pi*(2*Top Radius of Frustum of Cone-sqrt(Slant Height of Frustum of Cone^2-Height of Frustum of Cone^2))*Slant Height of Frustum of Cone

Curved Surface Area of Frustum of Cone given Slant Height and Base Area

Go Curved Surface Area of Frustum of Cone = pi*(Top Radius of Frustum of Cone+sqrt(Base Area of Frustum of Cone/pi))*Slant Height of Frustum of Cone

Curved Surface Area of Frustum of Cone given Slant Height and Top Area

Go Curved Surface Area of Frustum of Cone = pi*(sqrt(Top Area of Frustum of Cone/pi)+Base Radius of Frustum of Cone)*Slant Height of Frustum of Cone

Curved Surface Area of Frustum of Cone given Total Surface Area

Go Curved Surface Area of Frustum of Cone = Total Surface Area of Frustum of Cone-(pi*(Top Radius of Frustum of Cone^2+Base Radius of Frustum of Cone^2))

Curved Surface Area of Frustum of Cone given Total Surface Area and Base Area

Go Curved Surface Area of Frustum of Cone = Total Surface Area of Frustum of Cone-(pi*Top Radius of Frustum of Cone^2)-Base Area of Frustum of Cone

Curved Surface Area of Frustum of Cone given Total Surface Area and Top Area

Go Curved Surface Area of Frustum of Cone = Total Surface Area of Frustum of Cone-(pi*Base Radius of Frustum of Cone^2)-Top Area of Frustum of Cone

Curved Surface Area of Frustum of Cone given Slant Height

Go Curved Surface Area of Frustum of Cone = pi*(Top Radius of Frustum of Cone+Base Radius of Frustum of Cone)*Slant Height of Frustum of Cone

Curved Surface Area of Frustum of Cone given Total Surface Area, Top Area and Base Area

Go Curved Surface Area of Frustum of Cone = Total Surface Area of Frustum of Cone-(Base Area of Frustum of Cone+Top Area of Frustum of Cone)

Curved Surface Area of Frustum of Cone given Total Surface Area and Top Area Formula

Curved Surface Area of Frustum of Cone = Total Surface Area of Frustum of Cone-(pi*Base Radius of Frustum of Cone^2)-Top Area of Frustum of Cone
CSA = TSA-(pi*r_Base^2)-A_Top

What is a Frustum of Cone?

A Frustum of Cone is the part of cone when it is cut by a (horizontally parallel to the base) plane into two parts. The upper part of the cone remains same in shape but the bottom part makes a frustum.

How to Calculate Curved Surface Area of Frustum of Cone given Total Surface Area and Top Area?

Curved Surface Area of Frustum of Cone given Total Surface Area and Top Area calculator uses Curved Surface Area of Frustum of Cone = Total Surface Area of Frustum of Cone-(pi*Base Radius of Frustum of Cone^2)-Top Area of Frustum of Cone to calculate the Curved Surface Area of Frustum of Cone, The Curved Surface Area of Frustum of Cone given Total Surface Area and Top Area formula is defined as the quantity of plane enclosed by curved surfaces (that is, top and bottom faces are excluded) of the Frustum of Cone, calculated using the total surface area, top area and base radius of the Frustum of Cone. Curved Surface Area of Frustum of Cone is denoted by CSA symbol.

How to calculate Curved Surface Area of Frustum of Cone given Total Surface Area and Top Area using this online calculator? To use this online calculator for Curved Surface Area of Frustum of Cone given Total Surface Area and Top Area, enter Total Surface Area of Frustum of Cone (TSA), Base Radius of Frustum of Cone (r_Base) & Top Area of Frustum of Cone (A_Top) and hit the calculate button. Here is how the Curved Surface Area of Frustum of Cone given Total Surface Area and Top Area calculation can be explained with given input values -> 456.4602 = 850-(pi*5^2)-315.

FAQ

What is Curved Surface Area of Frustum of Cone given Total Surface Area and Top Area?

The Curved Surface Area of Frustum of Cone given Total Surface Area and Top Area formula is defined as the quantity of plane enclosed by curved surfaces (that is, top and bottom faces are excluded) of the Frustum of Cone, calculated using the total surface area, top area and base radius of the Frustum of Cone and is represented as CSA = TSA-(pi*r_Base^2)-A_Top or Curved Surface Area of Frustum of Cone = Total Surface Area of Frustum of Cone-(pi*Base Radius of Frustum of Cone^2)-Top Area of Frustum of Cone. Total Surface Area of Frustum of Cone is the total quantity of plane enclosed on the entire surface of the Frustum of the Cone, Base Radius of Frustum of Cone is the distance between the center and any point on the circumference of the base circular surface of the Frustum of the Cone & Top Area of Frustum of Cone is the total amount of two-dimensional space occupied by the top face of the Frustum of the Cone.

How to calculate Curved Surface Area of Frustum of Cone given Total Surface Area and Top Area?

The Curved Surface Area of Frustum of Cone given Total Surface Area and Top Area formula is defined as the quantity of plane enclosed by curved surfaces (that is, top and bottom faces are excluded) of the Frustum of Cone, calculated using the total surface area, top area and base radius of the Frustum of Cone is calculated using Curved Surface Area of Frustum of Cone = Total Surface Area of Frustum of Cone-(pi*Base Radius of Frustum of Cone^2)-Top Area of Frustum of Cone. To calculate Curved Surface Area of Frustum of Cone given Total Surface Area and Top Area, you need Total Surface Area of Frustum of Cone (TSA), Base Radius of Frustum of Cone (r_Base) & Top Area of Frustum of Cone (A_Top). With our tool, you need to enter the respective value for Total Surface Area of Frustum of Cone, Base Radius of Frustum of Cone & Top Area of Frustum of Cone and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Curved Surface Area of Frustum of Cone?

In this formula, Curved Surface Area of Frustum of Cone uses Total Surface Area of Frustum of Cone, Base Radius of Frustum of Cone & Top Area of Frustum of Cone. We can use 19 other way(s) to calculate the same, which is/are as follows -

Curved Surface Area of Frustum of Cone = pi*(2*Top Radius of Frustum of Cone-sqrt(Slant Height of Frustum of Cone^2-Height of Frustum of Cone^2))*Slant Height of Frustum of Cone
Curved Surface Area of Frustum of Cone = pi*(sqrt(Slant Height of Frustum of Cone^2-Height of Frustum of Cone^2)+2*Base Radius of Frustum of Cone)*Slant Height of Frustum of Cone
Curved Surface Area of Frustum of Cone = pi*(sqrt(Top Area of Frustum of Cone/pi)+sqrt(Base Area of Frustum of Cone/pi))*Slant Height of Frustum of Cone
Curved Surface Area of Frustum of Cone = pi*(sqrt(Slant Height of Frustum of Cone^2-Height of Frustum of Cone^2)+2*sqrt(Base Area of Frustum of Cone/pi))*Slant Height of Frustum of Cone
Curved Surface Area of Frustum of Cone = pi*(2*sqrt(Top Area of Frustum of Cone/pi)-sqrt(Slant Height of Frustum of Cone^2-Height of Frustum of Cone^2))*Slant Height of Frustum of Cone
Curved Surface Area of Frustum of Cone = pi*(Top Radius of Frustum of Cone+sqrt(Base Area of Frustum of Cone/pi))*sqrt((Top Radius of Frustum of Cone-sqrt(Base Area of Frustum of Cone/pi))^2+Height of Frustum of Cone^2)
Curved Surface Area of Frustum of Cone = pi*(sqrt(Top Area of Frustum of Cone/pi)+sqrt(Base Area of Frustum of Cone/pi))*sqrt((sqrt(Top Area of Frustum of Cone/pi)-sqrt(Base Area of Frustum of Cone/pi))^2+Height of Frustum of Cone^2)
Curved Surface Area of Frustum of Cone = pi*(sqrt(Top Area of Frustum of Cone/pi)+Base Radius of Frustum of Cone)*sqrt((sqrt(Top Area of Frustum of Cone/pi)-Base Radius of Frustum of Cone)^2+Height of Frustum of Cone^2)
Curved Surface Area of Frustum of Cone = pi*(Top Radius of Frustum of Cone+sqrt(Base Area of Frustum of Cone/pi))*Slant Height of Frustum of Cone
Curved Surface Area of Frustum of Cone = pi*(sqrt(Top Area of Frustum of Cone/pi)+Base Radius of Frustum of Cone)*Slant Height of Frustum of Cone
Curved Surface Area of Frustum of Cone = Total Surface Area of Frustum of Cone-(pi*Top Radius of Frustum of Cone^2)-Base Area of Frustum of Cone
Curved Surface Area of Frustum of Cone = Total Surface Area of Frustum of Cone-(Base Area of Frustum of Cone+Top Area of Frustum of Cone)
Curved Surface Area of Frustum of Cone = pi*(sqrt(Top Area of Frustum of Cone/pi)+sqrt(Base Area of Frustum of Cone/pi))*sqrt(((3*Volume of Frustum of Cone)/(pi*(Top Area of Frustum of Cone/pi+Base Area of Frustum of Cone/pi+(sqrt(Top Area of Frustum of Cone/pi)*sqrt(Base Area of Frustum of Cone/pi)))))^2+(sqrt(Top Area of Frustum of Cone/pi)-sqrt(Base Area of Frustum of Cone/pi))^2)
Curved Surface Area of Frustum of Cone = pi*(sqrt(Top Area of Frustum of Cone/pi)+Base Radius of Frustum of Cone)*sqrt(((3*Volume of Frustum of Cone)/(pi*(Top Area of Frustum of Cone/pi+Base Radius of Frustum of Cone^2+(sqrt(Top Area of Frustum of Cone/pi)*Base Radius of Frustum of Cone))))^2+(sqrt(Top Area of Frustum of Cone/pi)-Base Radius of Frustum of Cone)^2)
Curved Surface Area of Frustum of Cone = pi*(Top Radius of Frustum of Cone+sqrt(Base Area of Frustum of Cone/pi))*sqrt(((3*Volume of Frustum of Cone)/(pi*(Top Radius of Frustum of Cone^2+Base Area of Frustum of Cone/pi+(sqrt(Base Area of Frustum of Cone/pi)*Top Radius of Frustum of Cone))))^2+(Top Radius of Frustum of Cone-sqrt(Base Area of Frustum of Cone/pi))^2)
Curved Surface Area of Frustum of Cone = pi*(Top Radius of Frustum of Cone+Base Radius of Frustum of Cone)*sqrt((Top Radius of Frustum of Cone-Base Radius of Frustum of Cone)^2+Height of Frustum of Cone^2)
Curved Surface Area of Frustum of Cone = pi*(Top Radius of Frustum of Cone+Base Radius of Frustum of Cone)*Slant Height of Frustum of Cone
Curved Surface Area of Frustum of Cone = Total Surface Area of Frustum of Cone-(pi*(Top Radius of Frustum of Cone^2+Base Radius of Frustum of Cone^2))
Curved Surface Area of Frustum of Cone = pi*(Top Radius of Frustum of Cone+Base Radius of Frustum of Cone)*sqrt(((3*Volume of Frustum of Cone)/(pi*(Top Radius of Frustum of Cone^2+Base Radius of Frustum of Cone^2+(Top Radius of Frustum of Cone*Base Radius of Frustum of Cone))))^2+(Top Radius of Frustum of Cone-Base Radius of Frustum of Cone)^2)

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