# Hemisphere Calculator

A hemisphere is defined as 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.

## What is Hemisphere Calculator?

'Cuemath's Hemisphere Calculator' is an online tool that helps to calculate the surface area and volume of the hemisphere. Cuemath's online Hemisphere Calculator helps you to calculate the surface area and volume of the hemisphere within a few seconds.

Note: Please enter the values up to three digits only.

## How to Use Hemisphere Calculator?

Please follow the steps below on how to use the calculator:

**Step1:**Choose a drop-down list to calculate the surface area and volume of the hemisphere.**Step2:**Enter the radius of the hemisphere in the given input box.**Step3:**Click on the**"Calculate"**button to find the surface area and volume of the hemisphere.**Step4:**Click on the**"Reset"**button to clear the fields and enter new values.

## How to Find Volume and Surface Area of Hemisphere?

The **area of the hemisphere** is defined as the amount of space enclosed within the boundary of a hemisphere. It is measured in square units. The formula to calculate the area of the hemisphere is given by

**The surface area of a hemisphere = 3πr ^{2} square units**

Where 'r is the radius of the hemisphere.

The **volume of a Hemisphere** is the capacity of the hemisphere or the measure of the amount of space it occupies. It is measured in cubic units. The formula to calculate the volume of the hemisphere is given by

**The volume of a hemisphere = 2/3 ×π × r ^{3}**

Where 'r is the radius of the hemisphere.

**Solved Example:**

Find the surface area and volume of the hemisphere if the radius is 5 units?

**Solution:**

Given: Radius = 5 units

The surface area of a hemisphere = 3πr^{2}

= 3 ×3.14159 × 5^{2}

= 3 × 3.14159 × 25

= 235.62 square units

The volume of a hemisphere = 2/3 ×π × r^{3}

= 2/3 ×3.14159 × 5^{3}

= 2 / 3 × 3.14159 × 125

= 261.8 cubic units

Similarly, you can try the calculator to find the surface area and volume of the hemisphere for

- Radius = 8 units
- Radius = 12 units

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