Question

A sphere that has a diameter of 6 what is the volume of the sphere

Answer 1

113.1 (113.0973355...)

Explanation:

1. Use the sphere volume formula of
`(4)/(3)`π
`r^(3)`.

2. Divide 6 by 2 in order to get a radius of 3.

3. Substitute 3 in for r.

4. Cube the 3, you'll get 27.

5. Multiply 27 by Pi and 4/3.

6. You get 113.1 as a rough estimate, or 113.0973355... for a more exact number. If you leave it in Pi terms, it's 36π.

Answer 2

36 pi or 113.04

Explanation:

The volume of a sphere is given by

V= 4/3 pi r^3

we know the diameter so we need to find the radius

r =d/2

r = 6/2 = 3

V = 4/3 pi (3)^3

V =36 pi

We can approximate pi by 3.14

V is approximately 36 *3.14 or 113.04