Question

Kairay created a sculpture by forming a hemisphere with a radius of 20 inches and then removing a hemisphere with a radius of 15 inches from it. Calculate the volume of his sculpture. Use 3.14 as an approximation for pi. Round your answer to the nearest whole number.(1 point)

Responses

19,363 in.3
19,363 inches cubed
16,747 in.3
16,747 inches cubed
7,065 in.3
7,065 inches cubed
9,682 in.3

Answer 1

[AI-generated answer — Bot GPT 3.5]

To calculate the volume of the sculpture, we need to find the difference between the volume of the larger hemisphere and the volume of the smaller hemisphere.

The volume of a hemisphere is given by the formula: V = (2/3)πr^3

For the larger hemisphere with a radius of 20 inches:
V1 = (2/3)π(20)^3 = (2/3)π(8000) = 5333.33 cubic inches (rounded to the nearest whole number)

For the smaller hemisphere with a radius of 15 inches:
V2 = (2/3)π(15)^3 = (2/3)π(3375) = 2250 cubic inches (rounded to the nearest whole number)

Therefore, the volume of the sculpture is the difference between V1 and V2:
Volume = V1 - V2 = 5333.33 - 2250 = 3083.33 cubic inches (rounded to the nearest whole number)

The nearest whole number is 3083.

Therefore, the correct answer is: 3083 in.3