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
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.