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.
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
1 answer