To calculate the volume of the sculpture, we need to find the difference between the volume of the larger hemisphere and the smaller hemisphere.
The volume of a hemisphere is given by the formula: V = (2/3) * pi * r^3
First, let's calculate the volume of the larger hemisphere with a radius of 20 inches:
V_large = (2/3) * 3.14 * (20)^3
V_large ≈ 33,493 in.^3
Next, let's calculate the volume of the smaller hemisphere with a radius of 15 inches:
V_small = (2/3) * 3.14 * (15)^3
V_small ≈ 14,128 in.^3
Finally, subtract the volume of the smaller hemisphere from the volume of the larger hemisphere to find the volume of the sculpture:
V_sculpture = V_large - V_small
V_sculpture ≈ 33,493 - 14,128
V_sculpture ≈ 19,365 in.^3
Rounded to the nearest whole number, the volume of Kairay's sculpture is 19,365 in.³. Therefore, the correct answer is:
19,363 in.3 (19,363 inches cubed)
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)
7,065 in.3
7,065 inches cubed
19,363 in.3
19,363 inches cubed
16,747 in.3
16,747 inches cubed
9,682 in.3
1 answer