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.
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