Question

Katy 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 for pi. A. 9,682 b. 16,747 c. 19,363 d. 7,065

Answer 1

To find the volume of the sculpture, we need to find the volume of the large hemisphere and then subtract the volume of the smaller hemisphere.

Volume of large hemisphere:
V1 = (2/3) * π * r1^3
V1 = (2/3) * 3.14 * 20^3
V1 = (2/3) * 3.14 * 8000
V1 = 16746.67 inches^3

Volume of small hemisphere:
V2 = (2/3) * π * r2^3
V2 = (2/3) * 3.14 * 15^3
V2 = (2/3) * 3.14 * 3375
V2 = 7065.00 inches^3

Volume of sculpture = V1 - V2
Volume of sculpture = 16746.67 - 7065.00
Volume of sculpture = 9681.67 inches^3

Therefore, the volume of Katy's sculpture is approximately 9,681 inches^3, which is closest to option A.