Caraway created a sculpture by Foreman a hemisphere with a radius of 20 in then removing the hemisphere with a radius of 15 inches from it calculate the volume of a sculpture using 3.15 as in approximation for pi around here answer to the nearest whole number

1 answer

To calculate the volume of the sculpture, we first need to find the volume of the hemisphere with a radius of 20 inches.

The formula for the volume of a hemisphere is: V = (2/3)πr^3

Plugging in the values, we have:
V1 = (2/3) * 3.15 * 20^3 ≈ 33523.52 in^3

Next, we need to find the volume of the hemisphere that was removed (radius of 15 inches).

V2 = (2/3) * 3.15 * 15^3 ≈ 9424.50 in^3

Finally, we subtract V2 from V1 to get the volume of the sculpture:
Volume of sculpture = V1 - V2
Volume of sculpture ≈ 33523.52 - 9424.50 ≈ 24099.02 in^3

Rounded to the nearest whole number, the volume of the sculpture is approximately 24100 in^3.