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)

Question

Responses

16,747 in.3
16,747 inches cubed

7,065 in.3
7,065 inches cubed

9,682 in.3
9,682 inches cubed

19,363 in.3
19,363 inches cubed
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Answer 1

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

The formula for the volume of a hemisphere is: (2/3) * pi * r^3.

For the larger hemisphere with a radius of 20 inches, the volume is:
(2/3) * 3.14 * (20^3) = 33,493.33 cubic inches.

For the smaller hemisphere with a radius of 15 inches, the volume is:
(2/3) * 3.14 * (15^3) = 14,130 cubic inches.

Subtracting the volume of the smaller hemisphere from the volume of the larger hemisphere, we get:

33,493.33 - 14,130 = 19,363.33 cubic inches.

Rounding to the nearest whole number, the volume of the sculpture is approximately 19,363 cubic inches.

Therefore, the correct answer is:

19,363 in.3
19,363 inches cubed