Kaircy 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 answer

To find 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 * radius³.
For the larger hemisphere with a radius of 20 inches, the volume is (2/3) * 3.14 * 20³ = 33523.47 cubic inches.

For the smaller hemisphere with a radius of 15 inches, the volume is (2/3) * 3.14 * 15³ = 14137.1 cubic inches.

To find the volume of the sculpture, we will subtract the volume of the smaller hemisphere from the volume of the larger hemisphere: 33523.47 - 14137.1 = 19386.37 cubic inches.

Rounded to the nearest whole number, the volume of the sculpture is 19386 cubic inches.