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 pl. Round your answer to the nearest whole number. (1 point) 16, 747in .^ 3; 19, 363in .^ 3; 9.682in .^ 3; 7065in .^ 3
The volume of the larger hemisphere is given by the formula V = (4/3)πr^3, where r is the radius of the hemisphere.
For the larger hemisphere:
V1 = (4/3) * 3.14 * (20)^3
V1 = (4/3) * 3.14 * 8000
V1 = 33,493.3333in^3
Now, we need to calculate the volume of the smaller hemisphere.
V2 = (4/3) * 3.14 * (15)^3
V2 = (4/3) *3.14 * 3375
V2 = 14,130in^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 = 33,493.3333 - 14,130
Volume of sculpture = 19,363.3333in^3
Rounded to the nearest whole number, the volume of the sculpture is approximately 19,363in^3.
Therefore, the correct answer is 19,363in .^ 3.