Question

Which of the following is the radius of a sphere that has a volume of  32/3 π in³?

a. 1 in            
b. 2 in                 
c. 3 in                 
d. 4 in​

Answer 1

b.2 in

Explanation:

Formula Volume of sphere = 4/3πr^3

then r= cubic root (3V/4π)

= cubic root (3 x 32/3π/4π) (simplify 3andπ)

= cubic root of (32/4)

= cubic root of 8 = 2

Answer 2

b

Explanation:

The volume (V) of a sphere is calculated as

V =
`(4)/(3)` πr³ ( r is the radius )

Given V =
`(32)/(3)` π , then

`(4)/(3)` πr³ =
`(32)/(3)` π ( multiply both sides by 3 to clear the fractions )

4πr³ = 32π ( divide both sides by 4π )

r³ = 8 ( take cube root of both sides )

r =
`\sqrt[3]{8}` = 2