What is the diameter of a sphere that has a volume of 2304π in3? a. 12 in. b. 16 in. c. 24 in. d. 32 in.

Mathematics · High School · Mon Jan 18 2021

Answered on

Given : 

Volume of sphere = 2304π in³

Formula:

Volume of sphere = 4/3 πr³

So, 

2304 π  = 4/3 πr³

2304 × 3/4 = r³

r³ = 1728

r = 12 in

We know, diameter = 2 × Radius 

So, diameter = 2 × 12 in

= 24 in

 

Hence, option (C) is correct.