Question

Adair Advertising has 2 spherical balloons. One has a radius of 3 feet and the other one has a radius of 5 feet. What is the difference in the volume of the two ballons, rounded to the nearest tenth of a cubic foot? use 3.14 for π

Answer 1

Answer:the volume is 410.3 cubic feet

Answer 2

The volume of a sphere is
`(4)/(3) \pi r^3`.
Therefore, the larger balloon has a volume of
`(4)/(3) \pi (5^(3))=(500)/(3)\pi`, while the smaller one has a volume of
`(4)/(3) \pi (3^(3)) = 36\pi`.

Therefore the difference will be:
`(500)/(3)\pi-36\pi=(392)/(3)\pi`

Using
`\pi=3.14`, the volume is 410.3 cubic feet.