A hemisphere’s volume is equal to the amount of space it takes up. More space is taken up by an object with a larger volume. A hemisphere is a three-dimensional object that is half the size of a full sphere, such as bowls, headphones, an igloo, and architectural domes. As a result, a hemisphere’s volume is half that of a sphere’s volume. With the aid of a few solved examples and practise questions, let’s learn how to find the volume of the hemisphere.
What is the Volume of a Hemisphere?
A hemisphere is a half-sphere-shaped three-dimensional (3D) object. The hemisphere is the form obtained when a sphere is sliced by a plane running through its centre. A hemisphere has one flat circular base and one curved surface. The number of unit cubes that can fit inside a hemisphere is its volume. Because cubic units are used to measure volume, the volume of a hemisphere may be represented in m3, cm3, in3, and so on.
Let’s take a closer look at the formula for calculating the volume of a hemisphere.
Volume of a Hemisphere Formula
Because the volume of a hemisphere is half that of a sphere, it is represented as Volume of hemisphere = 2r3/3, where r is the hemisphere’s radius.
Let’s look at how the volume of a hemisphere is calculated. We may divide the volume of a sphere by 2 to get the volume of its hemisphere since a hemisphere is half of a sphere. Consider the radius of a sphere, which is r.
The formula for calculating the volume of a sphere is Volume of Sphere =
= 4πr3/3. So, the volume of a hemisphere = 1/2 of 4πr3/3 = 1/2 × 4πr3/3 = 2πr3/3
How to Find the Volume of a Hemisphere?
The formula for calculating the volume of a hemisphere is Volume of hemisphere = 2πr3/3. Let us now calculate the volume of a hemisphere with a radius of 7 units.
- Step 1: Calculate a hemisphere’s radius. The radius (r) is 7 units in this case.
- Step 2: Replace the radius in the formula Volume of hemisphere = 2πr3/3 with the value of the radius, and describe the final result in cubic units.
- Step 3: We obtain Volume of hemisphere 2πr3/3 = (2 × 3.14 × 73)/3 = 718.01 cubic units.
