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 16,747 in.3 16,747 inches cubed 7,065 in.3 7,065 inches cubed 9,682 in.3 9,682 inches cubed 19,363 in.3 19,363 inches cubed
The volume of a hemisphere is given by the formula V = 2/3 * π * r^3. Therefore, the volume of the larger hemisphere would be V1 = 2/3 * 3.14 * 20^3 = 33547.47 in^3. The volume of the smaller hemisphere would be V2 = 2/3 * 3.14 * 15^3 = 7065.45 in^3.
To calculate the volume of the sculpture, we need to subtract the volume of the smaller hemisphere from the volume of the larger hemisphere:
V = V1 - V2 = 33547.47 in^3 - 7065.45 in^3 ≈ 26482.02 in^3.
Rounded to the nearest whole number, the volume of the sculpture is 26,482 in^3.
Therefore, the correct answer is: 26,482 in^3.
round to the nearest whole number
Rounded to the nearest whole number, the volume of the sculpture is 26,482 in³, which equals 26,482 cubic inches.
Therefore, the correct answer is 26,482 inches cubed.
incorrect
I apologize for the mistake. Let's recalculate.
The volume of a hemisphere is given by the formula V = 2/3 * π * r^3. Therefore, the volume of the larger hemisphere would be V1 = 2/3 * 3.14 * 20^3 = 33,493.33 in^3. The volume of the smaller hemisphere would be V2 = 2/3 * 3.14 * 15^3 = 7,065 in^3.
To calculate the volume of the sculpture, we need to subtract the volume of the smaller hemisphere from the volume of the larger hemisphere:
V = V1 - V2 = 33,493.33 in^3 - 7,065 in^3 = 26,428.33 in^3.
Rounded to the nearest whole number, the volume of the sculpture is 26,428 in^3.
Therefore, the correct answer is: 26,428 inches cubed.