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

Answer:

Option B.

Step-by-step 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  

$V=\dfrac{4}{3}\pi r^3$

where, r is the radius of sphere.

The ratio of surface-area-to-volume is

$Ratio=\dfrac{A}{V}=\dfrac{4\pi r^2}{\frac{4}{3}\pi r^3}=\dfrac{3}{r}$

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

$Ratio=\dfrac{A}{V}=\dfrac{3}{r}=\dfrac{3}{2}=1.5$

Therefore, the correct option is B.