Question
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
Answers
GPT 3.5
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.
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.