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Volume of a Hemisphere Solution

STEP 0: Pre-Calculation Summary
Formula Used
volume = (2/3)*pi*(Radius)^3
V = (2/3)*pi*(r)^3
This formula uses 1 Constants, 1 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
Radius - Radius is a radial line from the focus to any point of a curve. (Measured in Centimeter)
STEP 1: Convert Input(s) to Base Unit
Radius: 18 Centimeter --> 0.18 Meter (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
V = (2/3)*pi*(r)^3 --> (2/3)*pi*(0.18)^3
Evaluating ... ...
V = 0.0122145122371571
STEP 3: Convert Result to Output's Unit
0.0122145122371571 Cubic Meter --> No Conversion Required
FINAL ANSWER
0.0122145122371571 Cubic Meter <-- Volume
(Calculation completed in 00.016 seconds)
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11 Other formulas that you can solve using the same Inputs

Total Surface Area of a Cone
total_surface_area = pi*Radius*(Radius+sqrt(Radius^2+Height^2)) Go
Lateral Surface Area of a Cone
lateral_surface_area = pi*Radius*sqrt(Radius^2+Height^2) Go
Surface Area of a Capsule
surface_area = 2*pi*Radius*(2*Radius+Side) Go
Volume of a Capsule
volume = pi*(Radius)^2*((4/3)*Radius+Side) Go
Volume of a Circular Cone
volume = (1/3)*pi*(Radius)^2*Height Go
Volume of a Circular Cylinder
volume = pi*(Radius)^2*Height Go
Bottom Surface Area of a Cylinder
bottom_surface_area = pi*Radius^2 Go
Base Surface Area of a Cone
base_surface_area = pi*Radius^2 Go
Top Surface Area of a Cylinder
top_surface_area = pi*Radius^2 Go
Area of a Circle when radius is given
area_of_circle = pi*Radius^2 Go
Volume of a Sphere
volume = (4/3)*pi*(Radius)^3 Go

11 Other formulas that calculate the same Output

Volume of a Conical Frustum
volume = (1/3)*pi*Height*(Radius 1^2+Radius 2^2+(Radius 1*Radius 2)) Go
Volume of a Capsule
volume = pi*(Radius)^2*((4/3)*Radius+Side) Go
Volume of a Circular Cone
volume = (1/3)*pi*(Radius)^2*Height Go
Volume of a Circular Cylinder
volume = pi*(Radius)^2*Height Go
Volume of a Rectangular Prism
volume = Width*Height*Length Go
Volume of Regular Dodecahedron
volume = ((15+(7*sqrt(5)))*Side^3)/4 Go
Volume of Regular Icosahedron
volume = (5*(3+sqrt(5))*Side^3)/12 Go
Volume of a Sphere
volume = (4/3)*pi*(Radius)^3 Go
Volume of Regular Octahedron
volume = (sqrt(2))*(Side^3)/3 Go
Volume of a Pyramid
volume = (1/3)*Side^2*Height Go
Volume of a Cube
volume = Side^3 Go

Volume of a Hemisphere Formula

volume = (2/3)*pi*(Radius)^3
V = (2/3)*pi*(r)^3

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 a Hemisphere?

Volume of a Hemisphere calculator uses volume = (2/3)*pi*(Radius)^3 to calculate the Volume, The volume of a hemisphere can be defined as the quantity of three-dimensional space enclosed by a hemisphere. Volume and is denoted by V symbol.

How to calculate Volume of a Hemisphere using this online calculator? To use this online calculator for Volume of a Hemisphere, enter Radius (r) and hit the calculate button. Here is how the Volume of a Hemisphere calculation can be explained with given input values -> 0.012215 = (2/3)*pi*(0.18)^3.

FAQ

What is Volume of a Hemisphere?
The volume of a hemisphere can be defined as the quantity of three-dimensional space enclosed by a hemisphere and is represented as V = (2/3)*pi*(r)^3 or volume = (2/3)*pi*(Radius)^3. Radius is a radial line from the focus to any point of a curve.
How to calculate Volume of a Hemisphere?
The volume of a hemisphere can be defined as the quantity of three-dimensional space enclosed by a hemisphere is calculated using volume = (2/3)*pi*(Radius)^3. To calculate Volume of a Hemisphere, you need Radius (r). With our tool, you need to enter the respective value for Radius 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?
In this formula, Volume uses Radius. We can use 11 other way(s) to calculate the same, which is/are as follows -
  • volume = pi*(Radius)^2*((4/3)*Radius+Side)
  • volume = (1/3)*pi*(Radius)^2*Height
  • volume = pi*(Radius)^2*Height
  • volume = Side^3
  • volume = (4/3)*pi*(Radius)^3
  • volume = (1/3)*Side^2*Height
  • volume = (1/3)*pi*Height*(Radius 1^2+Radius 2^2+(Radius 1*Radius 2))
  • volume = Width*Height*Length
  • volume = ((15+(7*sqrt(5)))*Side^3)/4
  • volume = (5*(3+sqrt(5))*Side^3)/12
  • volume = (sqrt(2))*(Side^3)/3
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