40.0k views
3 votes
If the amount of air in a spherical balloon is 288 cu. in., what is the radius of the balloon? 6 inches 7.3 inches 72 inches

User Rcsumner
by
4.2k points

1 Answer

1 vote

Answer:

6in

Explanation:

The volume of a spherical balloon is 4/3 π R^3.

So 288π = 4/3 π R^3

The factors of π cancel out. Divide both sides by 4/3 to get:

216 cubic inches = R^3

Take the cube root of both sides, and you find that R = 6 inches

User Kremerd
by
4.6k points