Curved Surface Area of Truncated Cone given Slant Height Solution

STEP 0: Pre-Calculation Summary
Formula Used
Curved Surface Area of Truncated Cone = pi*(Base Radius of Truncated Cone+Top Radius of Truncated Cone)*Slant Height of Truncated Cone
CSA = pi*(rBase+rTop)*hSlant
This formula uses 1 Constants, 4 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
Curved Surface Area of Truncated Cone - (Measured in Square Meter) - Curved Surface Area of Truncated Cone is the quantity of plane enclosed on curved surfaces (that is, top and bottom faces are excluded) of the Truncated Cone.
Base Radius of Truncated Cone - (Measured in Meter) - Base Radius of Truncated Cone is the distance between the center and any point on the circumference of the base circular surface of the Truncated Cone.
Top Radius of Truncated Cone - (Measured in Meter) - Top Radius of Truncated Cone is the distance between the center and any point on the circumference of the top circular surface of the Truncated Cone.
Slant Height of Truncated Cone - (Measured in Meter) - Slant Height of Truncated Cone is the length of the straight line connecting any point on the base to the truncated top circular face of the Truncated Cone.
STEP 1: Convert Input(s) to Base Unit
Base Radius of Truncated Cone: 5 Meter --> 5 Meter No Conversion Required
Top Radius of Truncated Cone: 2 Meter --> 2 Meter No Conversion Required
Slant Height of Truncated Cone: 8 Meter --> 8 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
CSA = pi*(rBase+rTop)*hSlant --> pi*(5+2)*8
Evaluating ... ...
CSA = 175.929188601028
STEP 3: Convert Result to Output's Unit
175.929188601028 Square Meter --> No Conversion Required
FINAL ANSWER
175.929188601028 175.9292 Square Meter <-- Curved Surface Area of Truncated Cone
(Calculation completed in 00.004 seconds)

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Mumbai University (DJSCE), Mumbai
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4 Curved Surface Area of Truncated Cone Calculators

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

Curved Surface Area of Truncated Cone given Slant Height Formula

Curved Surface Area of Truncated Cone = pi*(Base Radius of Truncated Cone+Top Radius of Truncated Cone)*Slant Height of Truncated Cone
CSA = pi*(rBase+rTop)*hSlant

What is a Truncated Cone?

A Truncated Cone is basically a circular cone of which top is cut or 'truncated' by a horizontal plane. Or in another way, a Truncated Cone is formed when a smaller circular cone is cut from the top of a larger circular cone. The Truncated has two circular surfaces - one on top and another on the bottom, and a lateral curved surface. The slant height is the shortest distance between the two circles on the lateral surface, which is the surface without the circles.

How to Calculate Curved Surface Area of Truncated Cone given Slant Height?

Curved Surface Area of Truncated Cone given Slant Height calculator uses Curved Surface Area of Truncated Cone = pi*(Base Radius of Truncated Cone+Top Radius of Truncated Cone)*Slant Height of Truncated Cone to calculate the Curved Surface Area of Truncated Cone, Curved Surface Area of Truncated Cone given Slant Height formula is defined as the quantity of plane enclosed on curved surfaces (that is, top and bottom faces are excluded) of the Truncated Cone, and calculated using the slant height of Truncated Cone. Curved Surface Area of Truncated Cone is denoted by CSA symbol.

How to calculate Curved Surface Area of Truncated Cone given Slant Height using this online calculator? To use this online calculator for Curved Surface Area of Truncated Cone given Slant Height, enter Base Radius of Truncated Cone (rBase), Top Radius of Truncated Cone (rTop) & Slant Height of Truncated Cone (hSlant) and hit the calculate button. Here is how the Curved Surface Area of Truncated Cone given Slant Height calculation can be explained with given input values -> 175.9292 = pi*(5+2)*8.

FAQ

What is Curved Surface Area of Truncated Cone given Slant Height?
Curved Surface Area of Truncated Cone given Slant Height formula is defined as the quantity of plane enclosed on curved surfaces (that is, top and bottom faces are excluded) of the Truncated Cone, and calculated using the slant height of Truncated Cone and is represented as CSA = pi*(rBase+rTop)*hSlant or Curved Surface Area of Truncated Cone = pi*(Base Radius of Truncated Cone+Top Radius of Truncated Cone)*Slant Height of Truncated Cone. Base Radius of Truncated Cone is the distance between the center and any point on the circumference of the base circular surface of the Truncated Cone, Top Radius of Truncated Cone is the distance between the center and any point on the circumference of the top circular surface of the Truncated Cone & Slant Height of Truncated Cone is the length of the straight line connecting any point on the base to the truncated top circular face of the Truncated Cone.
How to calculate Curved Surface Area of Truncated Cone given Slant Height?
Curved Surface Area of Truncated Cone given Slant Height formula is defined as the quantity of plane enclosed on curved surfaces (that is, top and bottom faces are excluded) of the Truncated Cone, and calculated using the slant height of Truncated Cone is calculated using Curved Surface Area of Truncated Cone = pi*(Base Radius of Truncated Cone+Top Radius of Truncated Cone)*Slant Height of Truncated Cone. To calculate Curved Surface Area of Truncated Cone given Slant Height, you need Base Radius of Truncated Cone (rBase), Top Radius of Truncated Cone (rTop) & Slant Height of Truncated Cone (hSlant). With our tool, you need to enter the respective value for Base Radius of Truncated Cone, Top Radius of Truncated Cone & Slant Height of Truncated 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 Truncated Cone?
In this formula, Curved Surface Area of Truncated Cone uses Base Radius of Truncated Cone, Top Radius of Truncated Cone & Slant Height of Truncated Cone. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Curved Surface Area of Truncated Cone = pi*(Base Radius of Truncated Cone+Top Radius of Truncated Cone)*sqrt((Base Radius of Truncated Cone-Top Radius of Truncated Cone)^2+Height of Truncated Cone^2)
  • Curved Surface Area of Truncated Cone = pi*(Base Radius of Truncated Cone+Top Radius of Truncated Cone)*sqrt((Base Radius of Truncated Cone-Top Radius of Truncated Cone)^2+((3*Volume of Truncated Cone)/(pi*(Base Radius of Truncated Cone^2+(Base Radius of Truncated Cone*Top Radius of Truncated Cone)+Top Radius of Truncated Cone^2)))^2)
  • Curved Surface Area of Truncated Cone = Total Surface Area of Truncated Cone-pi*(Base Radius of Truncated Cone^2+Top Radius of Truncated Cone^2)
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