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

9,682 in.3
9,682 inches cubed

19,363 in.3
19,363 inches cubed

7,065 in.3
7,065 inches cubed

16,747 in.3
16,747 inches cubed

Answer 1

To calculate the volume of the sculpture, we need to find the difference between the volumes of the two hemispheres.

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

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

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

To find the volume of the sculpture, we subtract the volume of the smaller hemisphere from the volume of the larger hemisphere: 33,493.33 - 14,130 = 19,363.33 in.3

Rounding this value to the nearest whole number, we get the final answer: 19,363 inches cubed.

Therefore, the correct answer is 19,363 inches cubed.