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
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.