Volume of Hemisphere – Formula, Definition, Examples

What do we mean by the volume of the hemisphere and how do we define it? Volume is nothing but the space an object occupies. An object with a larger volume occupies more space. A hemisphere is a 3D object which is half of a full sphere, examples of a hemisphere are bowls, headphones, Igloo, domes in architecture, etc. Thus, the volume of a hemisphere is also half of a sphere which is equal to two-thirds multiplied by pi multiplied by the radius to the power 3.

Let’s learn how to find the volume of the hemisphere and its volume in detail here with the help of few solved examples and practice questions.

What is a Volume of Hemisphere?

A hemisphere is a three-dimensional shape that is half of the sphere. When a sphere is cut by a plane passing through its center, the shape we get is called the hemisphere. A hemisphere has a curved surface and one flat circular base. The volume of a hemisphere is the number of unit cubes that can fit into it. The unit of volume is cubic units. For example, it can be expressed as m3, cm3, in3, etc depending upon the given units.

Volume of Hemisphere

Let us see how to find the formula of the volume of a hemisphere.

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Volume of a Hemisphere Formula

The volume of a hemisphere of some radius can be easily found out by calculating just half of the volume of a sphere of the same radius.

Volume of hemisphere = 2πr3/3, where r is the radius of the hemisphere.

Now considering that the radius of a sphere is r.

Volume of the sphere can be calculated using the formula, Volume of Sphere = 4πr3/3

comparison between the volume of a sphere and a hemisphereComparison Between the Volume of a Sphere and Hemisphere

How to Find the Volume of Hemisphere?

As we learned in the previous section, the volume of the hemisphere could be found using the formula, Volume of hemisphere = 2πr3/3. Thus, we follow the below steps to find the volume of a hemisphere.

    • Step 1: Determine the radius of a hemisphere.
    • Step 2: Find the volume of a hemisphere using the general formula Volume of hemisphere = 2πr3/3 when the radius of the sphere is known.
    • Step 3: Represent the final answer with cubic units.

FAQs on the Volume of Hemisphere

What is a Hemisphere?

A hemisphere is a three-dimensional shape that is half of a sphere. When we cut a sphere into two halves, then the shape we get is called the hemisphere.

How Do you Find the Volume of a Hemisphere?

The volume of a hemisphere can be easily found out by using the formula, Volume of a hemisphere with radius, r = 2πr3/3.

What is the Volume of a Hemisphere Formula?

The formula to calculate the volume of a hemisphere is given as, Volume of hemisphere = 2πr3/3, where r is the radius of a hemisphere.

What Units Are Used with the Volume of a Hemisphere?

In the metric system of measurement, the most common units of volume of a hemisphere are cubic meters, cubic inches, milliliters, and liters.

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How Do you Find the Volume of a Sphere?

The general formula for the volume of a sphere is Volume of Sphere = 4πr3/3, where r is the radius of a sphere.

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