Question

If the diameter of a youth baseball is 2. 8 inches and the diameter of an adult softball is 3. 8 inches, what is the approximate difference in their volumes? use 3. 14 for pi. round to the nearest tenth. recall the formula sphere volume = four-thirds pi r cubed. 1. 0 cubic inch 17. 2 cubic inches 40. 2 cubic inches 137. 8 cubic inches.

Answer 1

The approximate difference in their volumes is 17.2 cubic inches

How to determine the difference in the volume?

The given parameters are:

Diameter, d = 2.8

Diameter, D = 3.8

The radii are the half of the diameter.

So, we have:

r = 1.4

R = 1.9

The volume of the balls is then calculated using:

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

The difference is then represented as:

$D = \frac{4}{3}\pi (R^3 - r^3)$

Substitute known values

$D = \frac{4}{3}* 3.14* (1.9^3 - 1.4^3)$

Evaluate

D = 17.2

Hence, the approximate difference in their volumes is 17.2 cubic inches

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