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.

What is the total volume of the snowman?

(1 point)
Responses

a. 288π ft3

b. 36π ft3

c. 48π ft3

d.216π ft3

1 answer

To find the total volume of the snowman, we can calculate the volume of each snowball and add them together.

Volume of the bottom snowball:
V = (4/3)π(3^3) = 36π ft3

Volume of the middle snowball:
V = (4/3)π(2^3) = 32π/3 ft3

Volume of the top snowball:
V = (4/3)π(1^3) = 4π/3 ft3

Total volume of the snowman = 36π + 32π/3 + 4π/3 = 288π/3 = 96π ft3

Therefore, the total volume of the snowman is 96π ft3, which is closest to (d) 216π ft3.