What is the volume of a sphere with a surface area of 100 pi ft squared

The volume = 523.3 ft.³

Step-by-step explanation:

∵ Surface area of the sphere = 4πr²

∴ 4πr² = 100π

∴ 4r² = 100 ⇒ r² = 100/4 = 25

∴ r = √25 = 5 ft.

∵ Its volume = 4/3 πr³

∴ Its volume = (4/3) × π × 5³ = 523.3 ft.³

b. 24 mm

step-by-step explanation:

use the pythagorean theorem.

a^2 + b^2 = c^2

a^2 + 7^2 = 25^2

a^2 + 49 = 625

a^2 = 576

a = 24

answer: b. 24 mm