To find the volume of the sculpture, we first find the volume of the larger hemisphere and then subtract the volume of the smaller hemisphere that was removed.
Volume of larger hemisphere:
V₁ = (2/3) * π * r₁^3
V₁ = (2/3) * 3.14 * 20^3
V₁ = (2/3) * 3.14 * 8000
V₁ = 16747 inches cubed
Volume of smaller hemisphere:
V₂ = (2/3) * π * r₂^3
V₂ = (2/3) * 3.14 * 15^3
V₂ = (2/3) * 3.14 * 3375
V₂ = 7065 inches cubed
Volume of sculpture:
V = V₁ - V₂
V = 16747 - 7065
V = 9682 inches cubed
Therefore, the volume of Kairay's sculpture is approximately 9,682 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) Responses 9,682 in.^3 9,682 inches cubed 7,065 in.^3 7,065 inches cubed 16,747 in.^3 16,747 inches cubed 19,363 in.^3 19,363 inches cubed
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