Question

Kaircy created a sculpture by forming a hemisphere with a radius of 30 inches and then removing a hemisphere with a radius of 25 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

Answer 1

The volume of the hemisphere with a radius of 30 inches can be calculated using the formula for the volume of a sphere, as the hemisphere is half of a sphere.

V1 = (2/3) * π * (30^3)
V1 = (2/3) * 3.14 * (27000)
V1 ≈ 56520 cubic inches

Next, we need to calculate the volume of the hemisphere with a radius of 25 inches.

V2 = (2/3) * π * (25^3)
V2 = (2/3) * 3.14 * (15625)
V2 ≈ 65420 cubic inches

To find the volume of the sculpture, we subtract V2 from V1:

Volume = V1 - V2
Volume ≈ 56520 - 65420
Volume ≈ -8900 cubic inches

Since the resulting volume is negative, it means that the sculpture is not formed.