Question

A company manufactures exercise balls. Type A is a spherical ball with a radius of 12 inches. Type B is a spherical ball with a radius of 16 inches. What is the ratio of the surface area of Type A to the surface area of Type B?

Answer 1

we know that

[surface area of sphere]=4πr²
Type A
r=12 in
[surface area of sphere A]=4π12²--------> 576π in²

Type B
r=16 in
[surface area of sphere B]=4π16²--------> 1024π in²

[the ratio of the surface area of Type A to the surface area of Type B]
=576π/1024π-------> 9/16-----> 0.5625

the answer is
9/16 (0.5625)