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​

Respuesta :

Answer:

b

Step-by-step explanation:

The volume (V) of a sphere is calculated as

V = [tex]\frac{4}{3} [/tex] πr³ ( r is the radius )

Given V = [tex]\frac{32}{3} [/tex] π , then

[tex]\frac{4}{3} [/tex] πr³ = [tex]\frac{32}{3} [/tex] 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 = [tex]\sqrt[3]{8} [/tex] = 2

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