Question

Calculating Volume
A particular spherical-shaped fruit has a spherical seed, and the rest of the fruit is edible.



The radius of the fruit is 3 times the radius of the seed.

It is known that the seed has a volume of 100 cubic centimeters.

What is the volume of edible fruit rounded to the nearest cubic centimeter?

cubic centimeters

Answer 1

Let the seed radius be r. The fruit radius is 3r, so the fruit volume is 27 times the seed volume. Since the seed volume is 100 cm³, the fruit volume is 2700 cm³. The edible part = 2700 − 100 = 2600 cm³.

Answer: 2600 cubic centimeters.