The volumes of two spheres are 327 π in3and 8829 π in3.

a. What is the ratio of their radii?

b. What is the ratio of their surface areas?

A) Volume of the first sphere V1=4/3πr (1) ³

Volume of the second sphere V2=4/3πr (2) ³

V1/V2 = 4/3πr³ (1) / 4/3πr³ (2)

V1/V2 = r³ (1) / r³ (2)

At the same time V1/V2=327π/8829π=327/8829=1/27

V1/V2 = r³ (1) / r³ (2) = 1/27

r (1) / r (2) = 1/3

b) SA (1) = 4πr² (1) SA - surface area

SA (2) = 4πr² (2)

SA (1) / SA (2) = 4πr² (1) / 4πr² (2) = r² (1) / r² (2)

SA (1) / SA (2) = r² (1) / r² (2) = ((r (1) / r (2)) ² = (1/3) ²=1/9

SA (1) / SA (2) = 1/9