Question

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

Answer 1

Answer:

b.2 in

Step-by-step 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

Answer:

b

Step-by-step explanation:

The volume (V) of a sphere is calculated as

V = $\frac{4}{3}$ πr³ ( r is the radius )

Given V = $\frac{32}{3}$ π , then

$\frac{4}{3}$ πr³ = $\frac{32}{3}$ 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