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 9,682 in.3 9,682 inches cubed 16,747 in.3 16,747 inches cubed 7,065 in.3 7,065 inches cubed 19,363 in.3
To calculate the volume of the sculpture, we need to find the difference in volume between the larger hemisphere and the smaller hemisphere.
The volume of a hemisphere can be calculated using the formula V = 2/3 * pi * r^3.
For the larger hemisphere with a radius of 20 inches, the volume is V1 = 2/3 * 3.14 * 20^3 = 33,493.33 inches cubed.
For the smaller hemisphere with a radius of 15 inches, the volume is V2 = 2/3 * 3.14 * 15^3 = 14,130 inches cubed.
Therefore, the volume of the sculpture is V1 - V2 = 33,493.33 - 14,130 = 19,363.33 inches cubed.
Rounding to the nearest whole number, the volume of the sculpture is approximately 19,363 inches cubed.
So the correct answer is 19,363 in.3.