Top Radius of Solid of Revolution Calculator

✖Total Surface Area of Solid of Revolution is the total quantity of two dimensional space enclosed on the entire surface of the Solid of Revolution.ⓘ Total Surface Area of Solid of Revolution [TSA]			+10% -10%
✖Lateral Surface Area of Solid of Revolution is the total quantity of two dimensional space enclosed on the lateral surface of the Solid of Revolution.ⓘ Lateral Surface Area of Solid of Revolution [LSA]			+10% -10%
✖Bottom Radius of Solid of Revolution is the horizontal distance from the bottom end point of the revolving curve to the axis of rotation of the Solid of Revolution.ⓘ Bottom Radius of Solid of Revolution [r_Bottom]			+10% -10%

✖Top Radius of Solid of Revolution is the horizontal distance from the top end point of the revolving curve to the axis of rotation of the Solid of Revolution.ⓘ Top Radius of Solid of Revolution [r_Top]

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Formula

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Top Radius of Solid of Revolution

Formula

`"r"_{"Top"} = (sqrt(("TSA"-"LSA")/pi))-"r"_{"Bottom"}`

Example

`"10.06659m"= (sqrt(("5200m²"-"2360m²")/pi))-"20m"`

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Top Radius of Solid of Revolution Solution

STEP 0: Pre-Calculation Summary

Formula Used

Top Radius of Solid of Revolution = (sqrt((Total Surface Area of Solid of Revolution-Lateral Surface Area of Solid of Revolution)/pi))-Bottom Radius of Solid of Revolution
r_Top = (sqrt((TSA-LSA)/pi))-r_Bottom
This formula uses 1 Constants, 1 Functions, 4 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

Top Radius of Solid of Revolution - (Measured in Meter) - Top Radius of Solid of Revolution is the horizontal distance from the top end point of the revolving curve to the axis of rotation of the Solid of Revolution.
Total Surface Area of Solid of Revolution - (Measured in Square Meter) - Total Surface Area of Solid of Revolution is the total quantity of two dimensional space enclosed on the entire surface of the Solid of Revolution.
Lateral Surface Area of Solid of Revolution - (Measured in Square Meter) - Lateral Surface Area of Solid of Revolution is the total quantity of two dimensional space enclosed on the lateral surface of the Solid of Revolution.
Bottom Radius of Solid of Revolution - (Measured in Meter) - Bottom Radius of Solid of Revolution is the horizontal distance from the bottom end point of the revolving curve to the axis of rotation of the Solid of Revolution.

STEP 1: Convert Input(s) to Base Unit

Total Surface Area of Solid of Revolution: 5200 Square Meter --> 5200 Square Meter No Conversion Required
Lateral Surface Area of Solid of Revolution: 2360 Square Meter --> 2360 Square Meter No Conversion Required
Bottom Radius of Solid of Revolution: 20 Meter --> 20 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r_Top = (sqrt((TSA-LSA)/pi))-r_Bottom --> (sqrt((5200-2360)/pi))-20

Evaluating ... ...

r_Top = 10.0665940332783

STEP 3: Convert Result to Output's Unit

10.0665940332783 Meter --> No Conversion Required

FINAL ANSWER

10.0665940332783 ≈ 10.06659 Meter <-- Top Radius of Solid of Revolution

(Calculation completed in 00.004 seconds)

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Created by Shweta Patil

Walchand College of Engineering (WCE), Sangli

Shweta Patil has created this Calculator and 2500+ more calculators!

Verified by Mridul Sharma

Indian Institute of Information Technology (IIIT), Bhopal

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< 1 Top Radius of Solid of Revolution Calculators

Top Radius of Solid of Revolution

Go Top Radius of Solid of Revolution = (sqrt((Total Surface Area of Solid of Revolution-Lateral Surface Area of Solid of Revolution)/pi))-Bottom Radius of Solid of Revolution

Top Radius of Solid of Revolution Formula

What is Solid of Revolution?

A Solid of Revolution is a solid figure obtained by rotating a plane figure around some straight line that lies on the same plane. The surface created by this revolution and which bounds the solid is the surface of revolution.

How to Calculate Top Radius of Solid of Revolution?

Top Radius of Solid of Revolution calculator uses Top Radius of Solid of Revolution = (sqrt((Total Surface Area of Solid of Revolution-Lateral Surface Area of Solid of Revolution)/pi))-Bottom Radius of Solid of Revolution to calculate the Top Radius of Solid of Revolution, Top Radius of Solid of Revolution formula is defined as the horizontal distance from the top end point of the revolving curve to the axis of rotation of the Solid of Revolution. Top Radius of Solid of Revolution is denoted by r_Top symbol.

How to calculate Top Radius of Solid of Revolution using this online calculator? To use this online calculator for Top Radius of Solid of Revolution, enter Total Surface Area of Solid of Revolution (TSA), Lateral Surface Area of Solid of Revolution (LSA) & Bottom Radius of Solid of Revolution (r_Bottom) and hit the calculate button. Here is how the Top Radius of Solid of Revolution calculation can be explained with given input values -> 10.06659 = (sqrt((5200-2360)/pi))-20.

FAQ

What is Top Radius of Solid of Revolution?

Top Radius of Solid of Revolution formula is defined as the horizontal distance from the top end point of the revolving curve to the axis of rotation of the Solid of Revolution and is represented as r_Top = (sqrt((TSA-LSA)/pi))-r_Bottom or Top Radius of Solid of Revolution = (sqrt((Total Surface Area of Solid of Revolution-Lateral Surface Area of Solid of Revolution)/pi))-Bottom Radius of Solid of Revolution. Total Surface Area of Solid of Revolution is the total quantity of two dimensional space enclosed on the entire surface of the Solid of Revolution, Lateral Surface Area of Solid of Revolution is the total quantity of two dimensional space enclosed on the lateral surface of the Solid of Revolution & Bottom Radius of Solid of Revolution is the horizontal distance from the bottom end point of the revolving curve to the axis of rotation of the Solid of Revolution.

How to calculate Top Radius of Solid of Revolution?

Top Radius of Solid of Revolution formula is defined as the horizontal distance from the top end point of the revolving curve to the axis of rotation of the Solid of Revolution is calculated using Top Radius of Solid of Revolution = (sqrt((Total Surface Area of Solid of Revolution-Lateral Surface Area of Solid of Revolution)/pi))-Bottom Radius of Solid of Revolution. To calculate Top Radius of Solid of Revolution, you need Total Surface Area of Solid of Revolution (TSA), Lateral Surface Area of Solid of Revolution (LSA) & Bottom Radius of Solid of Revolution (r_Bottom). With our tool, you need to enter the respective value for Total Surface Area of Solid of Revolution, Lateral Surface Area of Solid of Revolution & Bottom Radius of Solid of Revolution and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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