Question

Find the approximate surface-area-to-volume ratio of a softball with a radius of 2 inches.

A. 8
B. 1.5
C. 0.67
D. 2
Please select the best answer from the choices provided

Answer 1

Option B.

Explanation:

We need to find the approximate surface-area-to-volume ratio of a softball.

Surface area of sphere is

`A=4\pi r^2`

where, r is the radius of sphere.

Volume of sphere is

`V=(4)/(3)\pi r^3`

where, r is the radius of sphere.

The ratio of surface-area-to-volume is

`Ratio=(A)/(V)=(4\pi r^2)/((4)/(3)\pi r^3)=(3)/(r)`

It is given that the radius of the ball is 2 inches.

`Ratio=(A)/(V)=(3)/(r)=(3)/(2)=1.5`

Therefore, the correct option is B.