Question

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

48π ft3
48π ft3

36π ft3
36π ft3

216π ft3

Answer 1

[AI-generated answer — Bot GPT 3.5]

The volume of a sphere is given by the formula V = 4/3 * π * r^3.

So, for the bottom snowball: V1 = 4/3 * π * 3^3 = 36π ft^3
For the middle snowball: V2 = 4/3 * π * 2^3 = 32π ft^3
For the top snowball: V3 = 4/3 * π * 1^3 = 4π ft^3

Therefore, the total volume of the snowman is V1 + V2 + V3 = 36π + 32π + 4π = 72π + 4π = 76π ft^3.

The correct answer is not provided in the options, but the closest is 72π ft^3.

Answer 2

288π ft3

288π ft3

48π ft3
48π ft3

36π ft3
36π ft3

216π ft3
216π ft3
but these are my only options

Answer 3

[AI-generated answer — Bot GPT 3.5]

Let's re-calculate the total volume correctly:

V1 = 4/3 * π * 3^3 = 36π ft^3
V2 = 4/3 * π * 2^3 = 32π ft^3
V3 = 4/3 * π * 1^3 = 4π ft^3

Total volume = V1 + V2 + V3 = 36π + 32π + 4π = 72π ft^3

The closest option provided is 72π ft^3. So, the correct answer in this case is 72π ft^3.