Question

A sphere has a radius of 24 millimeters. Find its a. volume and b. surface area. Use 3.14 for π. Round the answers to the nearest hundredth

Answer 1

• a. Volume = 57876.48 mi³
• b. Surface area = 7200 mi²

Explanation:

a.

Formula :

`{ \boxed{ \sf{ Volume \: of \: sphere = (4)/(3) \pi \: r^3}}}`

Plugging the values , we have

`= (4)/(3) * 3.14 * {(24)}^(3) \\ \\ = (4)/(3) * 3.14 * 13824 \\ \\ = ( 4 * 43407.36)/(3) \\ \\ (173629.44)/(3) \\ \\ = 57876.48`

Volume of the sphere is 57876.48 mi³ [rounded to nearest hundredth]

b.

Formula :

`{\boxed{\sf{Surface \: area = 4 \pi r^2}}}`

Plugging the values, we have

`= 4 * 3.14 * {(24)}^(2) \\ \\ 4 * 3.14 * 576 \\ \\ = 12.56 * 576 \\ \\ = 7234.56`

Surface area of the sphere is 7200 mi²