The volume of a hemisphere can be calculated using the formula V = (4/3)πr^3.
First, let's calculate the volume of the larger hemisphere with a radius of 20 inches:
V1 = (4/3)π(20^3)
V1 = (4/3)π(8000)
V1 ≈ 33,493.333 in^3
Next, let's calculate the volume of the smaller hemisphere with a radius of 15 inches:
V2 = (4/3)π(15^3)
V2 = (4/3)π(3375)
V2 ≈ 14,130 in^3
To find 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
V = 33,493.333 - 14,130
V ≈ 19,363 in^3
Therefore, the volume of Kairay's sculpture is approximately 19,363 in^3.
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) 682in .^ 3; 747in .^ 3; 19, 363in .^ 3; 7065in * L ^ 3
1 answer
1 answer