Question

A spherical cantaloupe is cut in half. The visible cross-section has an area of 5252 in2. The volume of the cantaloupe is _____ cm3. Round your answer to the tenths place.

Answer 1

V = 286319.465 cm3

Explanation:

First, you have to find the radius to be able to find the volume of a sphere.

The equation for the area of a circle is pi r^2 so you have to so some algebra.

5252 = pi r ^2

5252/pi = r^2

1671.76352 = r^2

sqrt(1671.76352) = r

r = 40.8872048

then you do the equation for the volume of a circle which is 4/3 pi r^3

4/3 pi (40.8872048)^3

4/3 pi 68353.7373

4/3 214739.599

286319.465

V = 286319.465 cm3