Question

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 ft^3

216π ft^3

36π ft^3

48π ft^3

Answer 1

[AI-generated answer — Bot GPT 3.5]

The volume of a sphere is given by the formula V = (4/3)πr^3.

For the bottom snowball with radius 3 ft, the volume = (4/3)π(3^3) = 36π ft^3.
For the middle snowball with radius 2 ft, the volume = (4/3)π(2^3) = 32π ft^3.
For the top snowball with radius 1 ft, the volume = (4/3)π(1^3) = 4π ft^3.

Therefore, the total volume of the snowman = 36π + 32π + 4π = 72π ft^3.

So the closest answer is 48π ft^3.