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
288π ft3
288π ft3
48π ft3
48π ft3
216π ft3
216π ft3
36π ft3
216π ft3
To find the volume of each snowball, we use the formula for the volume of a sphere: V = (4/3)πr^3.
For the bottom snowball with radius 3 ft: V = (4/3)π(3)^3 = 36π ft3
For the middle snowball with radius 2 ft: V = (4/3)π(2)^3 = 32π ft3
For the top snowball with radius 1 ft: V = (4/3)π(1)^3 = 4π ft3
Adding the volumes of all three snowballs together:
36π + 32π + 4π = 72π + 144π = 216π ft3
Therefore, the total volume of the snowman is 216π ft3.