Volume of Hemisphere given Curved Surface Area Calculator

✖Curved Surface Area of Hemisphere is the quantity of plane enclosed on the curved surfaces (that is the bottom face is excluded) of the Hemisphere.ⓘ Curved Surface Area of Hemisphere [CSA]

+10%

-10%

✖Volume of Hemisphere is the total quantity of three dimensional space enclosed by the surface of the Hemisphere.ⓘ Volume of Hemisphere given Curved Surface Area [V]

⎘ Copy

👎

Formula

✖

Volume of Hemisphere given Curved Surface Area

Formula

`"V" = 2/3*pi*("CSA"/(2*pi))^(3/2)`

Example

`"269.1341m³"=2/3*pi*("160m²"/(2*pi))^(3/2)`

Calculator

LaTeX

Reset

👍

Download Hemisphere Formula PDF

Volume of Hemisphere given Curved Surface Area Solution

STEP 0: Pre-Calculation Summary

Formula Used

Volume of Hemisphere = 2/3*pi*(Curved Surface Area of Hemisphere/(2*pi))^(3/2)
V = 2/3*pi*(CSA/(2*pi))^(3/2)
This formula uses 1 Constants, 2 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Volume of Hemisphere - (Measured in Cubic Meter) - Volume of Hemisphere is the total quantity of three dimensional space enclosed by the surface of the Hemisphere.
Curved Surface Area of Hemisphere - (Measured in Square Meter) - Curved Surface Area of Hemisphere is the quantity of plane enclosed on the curved surfaces (that is the bottom face is excluded) of the Hemisphere.

STEP 1: Convert Input(s) to Base Unit

Curved Surface Area of Hemisphere: 160 Square Meter --> 160 Square Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V = 2/3*pi*(CSA/(2*pi))^(3/2) --> 2/3*pi*(160/(2*pi))^(3/2)

Evaluating ... ...

V = 269.13413568215

STEP 3: Convert Result to Output's Unit

269.13413568215 Cubic Meter --> No Conversion Required

FINAL ANSWER

269.13413568215 ≈ 269.1341 Cubic Meter <-- Volume of Hemisphere

(Calculation completed in 00.004 seconds)

You are here -

Home » Math » Geometry » 3D Geometry » Hemisphere » Volume of Hemisphere » Volume of Hemisphere given Curved Surface Area

Credits

Created by Nikhil

Mumbai University (DJSCE), Mumbai

Nikhil has created this Calculator and 400+ more calculators!

Verified by Dhruv Walia

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

Dhruv Walia has verified this Calculator and 400+ more calculators!

< 6 Volume of Hemisphere Calculators

Volume of Hemisphere given Curved Surface Area

Go Volume of Hemisphere = 2/3*pi*(Curved Surface Area of Hemisphere/(2*pi))^(3/2)

Volume of Hemisphere given Total Surface Area

Go Volume of Hemisphere = 2/3*pi*(Total Surface Area of Hemisphere/(3*pi))^(3/2)

Volume of Hemisphere given Circumference

Go Volume of Hemisphere = (2*pi)/3*(Circumference of Hemisphere/(2*pi))^3

Volume of Hemisphere given Surface to Volume Ratio

Go Volume of Hemisphere = 2/3*pi*(9/(2*Surface to Volume Ratio of Hemisphere))^3

Volume of Hemisphere given Diameter

Go Volume of Hemisphere = 2/3*pi*(Diameter of Hemisphere/2)^3

Volume of Hemisphere

Go Volume of Hemisphere = 2/3*pi*Radius of Hemisphere^3

< 3 Volume of Hemisphere Calculators

Volume of Hemisphere given Curved Surface Area

Go Volume of Hemisphere = 2/3*pi*(Curved Surface Area of Hemisphere/(2*pi))^(3/2)

Volume of Hemisphere given Circumference

Go Volume of Hemisphere = (2*pi)/3*(Circumference of Hemisphere/(2*pi))^3

Volume of Hemisphere

Go Volume of Hemisphere = 2/3*pi*Radius of Hemisphere^3

Volume of Hemisphere given Curved Surface Area Formula

Volume of Hemisphere = 2/3*pi*(Curved Surface Area of Hemisphere/(2*pi))^(3/2)
V = 2/3*pi*(CSA/(2*pi))^(3/2)

What is a Hemisphere?

A sphere is defined as a set of points in three-dimension, and all the points lying on the surface is equidistant from the centre. When a plane cuts across the sphere at the centre or equal parts, it forms a Hemisphere. We can say, a Hemisphere is exactly half of a sphere.

What is Volume of a Hemisphere?

When a plane cuts across the sphere at the center or equal parts, it forms a hemisphere. We can say, a hemisphere is exactly half of a sphere. The volume of the hemisphere is derived by Archimedes and is half of the volume of a sphere. The volume V of a hemisphere is two-thirds times pi times the radius cubed.

How to Calculate Volume of Hemisphere given Curved Surface Area?

Volume of Hemisphere given Curved Surface Area calculator uses Volume of Hemisphere = 2/3*pi*(Curved Surface Area of Hemisphere/(2*pi))^(3/2) to calculate the Volume of Hemisphere, The Volume of Hemisphere given Curved Surface Area formula is defined as the total quantity of three dimensional space enclosed by the surface of the Hemisphere, and calculated using the curved surface area of Hemisphere. Volume of Hemisphere is denoted by V symbol.

How to calculate Volume of Hemisphere given Curved Surface Area using this online calculator? To use this online calculator for Volume of Hemisphere given Curved Surface Area, enter Curved Surface Area of Hemisphere (CSA) and hit the calculate button. Here is how the Volume of Hemisphere given Curved Surface Area calculation can be explained with given input values -> 269.1341 = 2/3*pi*(160/(2*pi))^(3/2).

FAQ

What is Volume of Hemisphere given Curved Surface Area?

The Volume of Hemisphere given Curved Surface Area formula is defined as the total quantity of three dimensional space enclosed by the surface of the Hemisphere, and calculated using the curved surface area of Hemisphere and is represented as V = 2/3*pi*(CSA/(2*pi))^(3/2) or Volume of Hemisphere = 2/3*pi*(Curved Surface Area of Hemisphere/(2*pi))^(3/2). Curved Surface Area of Hemisphere is the quantity of plane enclosed on the curved surfaces (that is the bottom face is excluded) of the Hemisphere.

How to calculate Volume of Hemisphere given Curved Surface Area?

The Volume of Hemisphere given Curved Surface Area formula is defined as the total quantity of three dimensional space enclosed by the surface of the Hemisphere, and calculated using the curved surface area of Hemisphere is calculated using Volume of Hemisphere = 2/3*pi*(Curved Surface Area of Hemisphere/(2*pi))^(3/2). To calculate Volume of Hemisphere given Curved Surface Area, you need Curved Surface Area of Hemisphere (CSA). With our tool, you need to enter the respective value for Curved Surface Area of Hemisphere 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 Volume of Hemisphere?

In this formula, Volume of Hemisphere uses Curved Surface Area of Hemisphere. We can use 7 other way(s) to calculate the same, which is/are as follows -

Volume of Hemisphere = 2/3*pi*Radius of Hemisphere^3
Volume of Hemisphere = 2/3*pi*(Diameter of Hemisphere/2)^3
Volume of Hemisphere = 2/3*pi*(Total Surface Area of Hemisphere/(3*pi))^(3/2)
Volume of Hemisphere = 2/3*pi*(9/(2*Surface to Volume Ratio of Hemisphere))^3
Volume of Hemisphere = (2*pi)/3*(Circumference of Hemisphere/(2*pi))^3
Volume of Hemisphere = 2/3*pi*Radius of Hemisphere^3
Volume of Hemisphere = (2*pi)/3*(Circumference of Hemisphere/(2*pi))^3

Home

FREE PDFs

🔍 Search