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
36π ft3
48π ft3
216π ft3
The volume of a sphere is given by the formula V = 4/3 * π * r^3, where r is the radius of the sphere.
For the bottom snowball with radius 3 ft:
V1 = 4/3 * π * (3)^3 = 36π ft^3
For the middle snowball with radius 2 ft:
V2 = 4/3 * π * (2)^3 = 32π ft^3
For the top snowball with radius 1 ft:
V3 = 4/3 * π * (1)^3 = 4π ft^3
Adding up the volumes of the three snowballs:
Total volume = V1 + V2 + V3 = 36π + 32π + 4π = 72π ft^3
Therefore, the correct answer is 72π ft^3.