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
7,065 in.3
7,065 inches cubed
19,363 in.3
19,363 inches cubed
16,747 in.3
16,747 inches cubed
9,682 in.3
To calculate the volume of the sculpture, we first need to find the volume of the larger hemisphere and then 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 would be:
(2/3) * 3.14 * 20^3 = 33,493.33 inches cubed (rounded to the nearest whole number).
For the smaller hemisphere with a radius of 15 inches, the volume would be:
(2/3) * 3.14 * 15^3 = 7,065 inches cubed (rounded to the nearest whole number).
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 - 7,065 = 26,428.33 inches cubed (rounded to the nearest whole number).
So, the volume of the sculpture is approximately 26,428 inches cubed.