### Volume of a Sphere

A **sphere** is a solid in which all the points on the round surface are equidistant from a**fixed point,** known as the center of the sphere. The distance from the center to the surface is the **radius**.

**Volume of sphere** = where *r* is the radius.

How to find the volume of a sphere? What is the volume of air in the ball?

**Volume of a hemisphere**

A **hemisphere** is half a sphere, with one flat circular face and one bowl-shaped face.

**Volume of hemisphere ** where *r* is the radius

**Spheres**

**What is a sphere?**

A **sphere **is a solid with all its points the same distance from the center. The distance is known as the radius of the sphere. The maximum straight distance through the center of a sphere is known as the diameter of the sphere. The diameter is twice the radius.

**How to find the volume of a sphere?**

The volume of a sphere is equal to four-thirds of the product of pi and the cube of the radius.

The volume and surface area of a sphere are given by the formulas:

where *r* is the radius of the sphere.*Example:*

Calculate the volume of sphere with radius 4 cm.

*Solution:*

Volume of sphere

We can also change the subject of the formula to obtain the radius given the volume.

*Example:*

The volume of a spherical ball is 5,000 cm^{3}. What is the radius of the ball?

*Solution:*

Example: Find the volume of a sphere with a diameter of 14 cm.

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