Volume of Hemisphere
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 twothirds 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.
1.  What is a Volume of Hemisphere? 
2.  Volume of a Hemisphere Formula 
3.  How to Find the Volume of Hemisphere? 
4.  FAQs on Volume of Hemisphere 
What is a Volume of Hemisphere?
A hemisphere is a threedimensional 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 m^{3}, cm^{3}, in^{3}, etc depending upon the given units.
Let us see how to find the formula of the volume of a hemisphere.
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 = 2πr^{3}/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 = 4πr^{3}/3
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 = 2πr^{3}/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 = 2πr^{3}/3 when the radius of the sphere is known.
 Step 3: Represent the final answer with cubic units.
Solved Examples on the Volume of Hemisphere

Example 1: Find the volume of a hemisphere with a radius measuring 9 units. (Take pi = 3.14)
Solution:
We know that for a hemisphere whose radius is 9 units,
The volume is:Volume of a hemisphere with radius, r = 2πr^{3}/3
Substituting 'r' as 9 we get
V = 2π × 9^{3}/3
Therefore, the volume of the hemisphere is 1526.04 units^{3}.

Example 2: Jack is having porridge in a bowl for his breakfast. The radius of the porridge bowl is 3 inches. What is the volume of the porridge bowl? (put pi = 22/7)
Solution
The volume of a hemisphere is half the volume of the sphere.
So, volume of a hemisphere with radius, r is given by 2πr^{3}/3
Let's calculate the volume of the bowl.
Volume of the hemispherical bowl = 2πr^{3}/3 = = (2 × 22 × (3)^{3})/(7 × 3) = 56.57 inches.
Therefore, the bowl can hold 56.57 inches portion of porridge.

Example 3: A sphere of radius 3 m is cut into two equal halves. Find the volume of each hemisphere so formed.
Solution:
The radius of the hemisphere so formed can be given as,
Radius of hemisphere, r = 3 m
We know, Volume of hemispheres = 2πr^{3}/3 = 2π × 3^{3}/3 = 18π m^{3}.
Therefore, the volume of given hemisphere = 18π m^{3}
FAQs on the Volume of Hemisphere
What is Meany By the Volume of Hemisphere?
The volume of a hemisphere is defined as the total space covered by the 3D shape in threedimensional plane. The volume of a hemisphere is expressed in cubic units, cm^{3}, m^{3}, ft^{3}, etc.
What is a Hemisphere?
A hemisphere is a threedimensional 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 = 2πr^{3}/3.
What is the Volume of a Hemisphere Formula?
The formula to calculate the volume of a hemisphere is given as, Volume of hemisphere = 2πr^{3}/3, where r is the radius of a hemisphere.
How Does the Volume of Hemisphere Change When the Radius of Hemisphere is Halved?
The volume of the hemisphere gets one eighth when the radius is halved as, r = r/2. As, volume of hemisphere = (2/3)πr^{3} = (2/3)π(r/2)^{3} = (2/3)π(r^{3}/8) = volume/8. Thus, the volume of hemisphere gets one eighth as soon as its radius gets halved.
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.
How Do you Find the Volume of a Sphere?
The general formula for the volume of a sphere is Volume of Sphere = 4πr^{3}/3, where r is the radius of a sphere.
visual curriculum