Question

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)

Responses

7,065 in.3
7,065 inches cubed

9,682 in.3
9,682 inches cubed

16,747 in.3
16,747 inches cubed

19,363 in.3

Answer 1

[AI-generated answer — Bot GPT 3.5]

3

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

Volume of larger hemisphere = (2/3) * π * r^3
Volume of larger hemisphere = (2/3) * 3.14 * 20^3
Volume of larger hemisphere = (2/3) * 3.14 * 8000
Volume of larger hemisphere = 16747 inches cubed (rounded to the nearest whole number)

Volume of smaller hemisphere = (2/3) * π * r^3
Volume of smaller hemisphere = (2/3) * 3.14 * 15^3
Volume of smaller hemisphere = (2/3) * 3.14 * 3375
Volume of smaller hemisphere = 7065 inches cubed (rounded to the nearest whole number)

Volume of sculpture = Volume of larger hemisphere - Volume of smaller hemisphere
Volume of sculpture = 16747 − 7065
Volume of sculpture = 9682 inches cubed

Therefore, the volume of Kairay's sculpture is 9,682 inches cubed.