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)
○ 9,682 in.³
○ 19, 363 in.
○ 7,065 in.
O 16, 747 in.³
To find the volume of the sculpture, we first need to 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)πr^3
V1 = (2/3)π(20)^3
V1 = (2/3)(3.14)(8000)
V1 = 16747.47 in.^3
Volume of smaller hemisphere:
V2 = (2/3)πr^3
V2 = (2/3)π(15)^3
V2 = (2/3)(3.14)(3375)
V2 = 7065 in.^3
Volume of sculpture:
V = V1 - V2
V = 16747.47 - 7065
V = 9682 in.^3
The volume of Kairay's sculpture is 9,682 in.^3 (rounded to the nearest whole number).