Question

Carlos has built a snowman consisting solely of 3 spherical snowballs. The bottom snowball has a radius of 3 ft, the middle snowball has a radius of 2 ft, and the top snowball has a radius of 1 ft. The total volume of the snowman is

Answer 1

the volume is 24 .......

Answer 2

Volume of snowman is 48π ft³

Explanation:

Since volume of a sphere =
`(4)/(3)(\pi)(r)^(3)`

To find the volume of snowman we will find the volume of all spheres separately and add them.

Volume of sphere with radius 3 ft =
`(4)/(3)(\pi)(3)^(3)=(4)/(3)(\pi)(27)}` ft³

Volume of sphere with radius 2 ft =
`(4)/(3)(\pi )(2)^(3)=(4)/(3)(\pi )(8)`

Volume of sphere with radius 1 ft =
`(4)/(3)(\pi )(1)^(3)=(4)/(3)(\pi)(1)`

Total volume of the snowman =
`(4)/(3)(\pi)(27)+(4)/(3)(\pi )(8)+(4)/(3)(\pi )(1)`

=
`(4)/(3)(\pi )(27+8+1)=(4)/(3)(\pi )(36)`

= 48π ft³

Therefore, total volume of the snowman = 48π ft³