QuestionKairay 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)Responses19,363 in.319,363 inches cubed16,747 in.316,747 inches cubed7,065 in.37,065 inches cubed9,682 in.3
To calculate the volume of the sculpture, we need to find the volume of the larger hemisphere and subtract the volume of the smaller hemisphere.
The volume of a hemisphere is given by the formula: (2/3)πr^3
For the larger hemisphere with a radius of 20 inches:
Volume = (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:
Volume = (2/3) * 3.14 * (15^3) = 14,130 inches cubed (rounded to the nearest whole number)
Therefore, the volume of the sculpture is:
33,493.33 - 14,130 = 19,363 inches cubed (rounded to the nearest whole number)
So the correct response is:
19,363 in.3