288π ft3
To find the volume of each snowball, we use the formula for the volume of a sphere: V = (4/3)πr^3.
For the bottom snowball: V1 = (4/3)π(3)^3 = 36π ft3
For the middle snowball: V2 = (4/3)π(2)^3 = 32π ft3
For the top snowball: V3 = (4/3)π(1)^3 = 4π ft3
The total volume of the snowman is the sum of these three volumes: V_total = 36π + 32π + 4π = 72π + 4π = 76π
Therefore, the total volume of the snowman is 76π ft3.
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
48π ft3
48π ft3
288π ft3
288π ft3
36π ft3
36π ft3
216π ft3
1 answer