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
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.