The volume of a sphere is 36 cubic inches. What is the radius of the sphere?

Question

asked Feb 1, 2021 192k views

1 Answer

Christoph Deppisch · Answer 1 · 2021-02-08T02:45:57+0000

Answer:

2.05 inches

Explanation:

V = 4/3 x πr³

36=4πr³/3

36x3= 4πr³

108= 4πr³

108/4 = πr³

27= πr^3

27/π =r³

r=

$\sqrt[3]{27 / \pi}$

r= 2.048in

round off to 2.05in

PROOF

V = 4÷3 x πr³

V= 4/3 x π(2.05)³

V=4/3 x π8.6

V=4×π×8.6/3

V=108/3

V=36in³

Therefore: radius= 2.05 inches