Question

I need some help finding the volume of a sphere with a diameter of 18.6cm. The website says the answer I got from my calculator was wrong! Help would be greatly appreciated!

Answer 1

V ≈ 3367.6 cm³

Explanation:

The volume (V) of a sphere is calculated as

V =
`(4)/(3)` πr³ ( r is the radius )

Here D = 18.6 , then r = 18.6 ÷ 2 = 9.3 , so

V =
`(4)/(3)` × 3.14 × 9.3³

=
`(4)/(3)` × 3.14 × 804.357

=
`(4(3.14)(804.357))/(3)`

≈ 3367.6 cm³ ( to the nearest tenth )