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
16,747 in.3
16,747 inches cubed
9,682 in.3
9,682 inches cubed
19,363 in.3
The volume of the sculpture can be calculated by finding the difference between the volume of the larger hemisphere and the volume of the smaller hemisphere.
The volume of a hemisphere can be calculated using the formula: (2/3) * π * r^3.
Using this formula, the volume of the larger hemisphere with a radius of 20 inches is:
(2/3) * 3.14 * 20^3 = 33,493.33 inches cubed.
The volume of the smaller hemisphere with a radius of 15 inches is:
(2/3) * 3.14 * 15^3 = 14,130 inches cubed.
Therefore, the volume of the sculpture is the difference between these two volumes:
33,493.33 - 14,130 = 19,363.33 inches cubed.
Rounded to the nearest whole number, the volume of the sculpture is approximately:
19,363 inches cubed.