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 ft3
288π ft3

36π ft3
36π ft3

216π ft3
216π ft3

48π ft3
48π ft3
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Answer 1

First, we need to find the volume of each snowball using the formula for the volume of a sphere: V = (4/3)πr^3.

For the bottom snowball: V = (4/3)π(3)^3 = 36π ft^3
For the middle snowball: V = (4/3)π(2)^3 = 32π ft^3
For the top snowball: V = (4/3)π(1)^3 = 4π ft^3

Now, to find the total volume of the snowman, we add the volumes of each snowball together: 36π + 32π + 4π = 72π + 32π + 4π = 108π ft^3

Therefore, the total volume of the snowman is 108π ft^3.

The closest answer choice is 108π ft^3.