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
The volume of a hemisphere is calculated using the formula V = (2/3) * π * r^3.
First, let's calculate the volume of the hemisphere with a radius of 20 inches:
V1 = (2/3) * 3.14 * 20^3
V1 = (2/3) * 3.14 * 8000
V1 ≈ 16747.47 cubic inches
Next, let's calculate the volume of the hemisphere with a radius of 15 inches:
V2 = (2/3) * 3.14 * 15^3
V2 = (2/3) * 3.14 * 3375
V2 ≈ 7068.57 cubic inches
Finally, let's calculate the volume of Kairay's sculpture by subtracting the volume of the smaller hemisphere from the volume of the larger hemisphere:
Volume of sculpture = V1 - V2
Volume of sculpture ≈ 16747.47 - 7068.57
Volume of sculpture ≈ 9678.9 cubic inches
Rounding to the nearest whole number, the volume of Kairay's sculpture is 9679 cubic inches.