The volume of Kairay's sculpture is calculated by subtracting the volume of a hemisphere with a 15-inch radius from the volume of a hemisphere with a 20-inch radius

Answer 1

To calculate the volume of a hemisphere, we use the formula:

V = (2/3) * π * r^3

For a hemisphere with a 15-inch radius:

V1 = (2/3) * π * (15^3)

V1 = (2/3) * π * 3375

For a hemisphere with a 20-inch radius:

V2 = (2/3) * π * (20^3)

V2 = (2/3) * π * 8000

To find the volume of Kairay's sculpture, we subtract the volume of the smaller hemisphere from the volume of the larger hemisphere:

V = V2 - V1

V = (2/3) * π * 8000 - (2/3) * π * 3375

V = (2/3) * π * (8000 - 3375)

V = (2/3) * π * 4625

Therefore, the volume of Kairay's sculpture is (2/3) * π * 4625 cubic inches.