Karay 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) 167 = - 3; 35a =^ 2 9,682 7,065 in
The volume of a hemisphere is given by the formula V = (2/3)πr^3.
First, let's calculate the volume of the larger hemisphere with a radius of 20 inches:
V1 = (2/3) * 3.14 * (20^3)
V1 = (2/3) * 3.14 * 8000
V1 = 33,493.33 in^3
Next, let's calculate the volume of the smaller hemisphere with a radius of 15 inches:
V2 = (2/3) * 3.14 * (15^3)
V2 = (2/3) * 3.14 * 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:
Volume of sculpture = V1 - V2
Volume of sculpture = 33,493.33 - 14,130
Volume of sculpture = 19,363.33
Rounding to the nearest whole number, the volume of the sculpture is 19,363 in^3.