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

36π ft3
36π ft3

216π ft3
216π ft3

1 answer

To calculate the volume of a sphere, you use the formula V = (4/3)πr^3, where r is the radius.

The volume of the bottom snowball = (4/3)π*(3^3) = 36π ft^3
The volume of the middle snowball = (4/3)π*(2^3) = 32π ft^3
The volume of the top snowball = (4/3)π*(1^3) = 4π ft^3

Total volume of the snowman = 36π + 32π + 4π = 72π + 32π = 104π ft^3

Therefore, the correct answer is not listed in the options provided. The total volume of the snowman is 104π ft^3.
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