Kairay created a sculpture by forming a hemisphere with a radius of 20 in and then removing a hemisphere with a radius of 15 in from it. Calculate the volume of his sculpture. Use 3.14 as an approximation for pi. Around your answer to the nearest whole number.
The volume of the larger hemisphere is given by the formula V = (4/3)πr^3, where r is the radius of the hemisphere.
Therefore, the volume of the larger hemisphere is (4/3) * 3.14 * (20^3) cubic inches.
This means the volume of the larger hemisphere is approximately 33510 cubic inches.
The volume of the smaller hemisphere is given by the same formula, but with a radius of 15 inches.
Therefore, the volume of the smaller hemisphere is (4/3) * 3.14 * (15^3) cubic inches.
This means the volume of the smaller hemisphere is approximately 14130 cubic inches.
To find the volume of the sculpture, we subtract the volume of the smaller hemisphere from the volume of the larger hemisphere.
Thus, the volume of the sculpture is 33510 - 14130 = 19380 cubic inches.
Therefore, the volume of Kairay's sculpture is approximately 19380 cubic inches.