KAIRAY created a school by former and hemisphere for radius of 20 inches, and then removing a hemisphere with the radius of 15 inches from it. Calculate the volume of his sculpture. Used 3.14 as the approximation for pi. Run your answer to the nearest whole number.
First, let's find the volume of the larger hemisphere:
Volume = (4/3) * pi * (radius)^3
Volume = (4/3) * 3.14 * (20)^3
Volume = 4/3 * 3.14 * 8000
Volume = 4.1867 * 8000
Volume = 33533.6
Now, let's find the volume of the smaller hemisphere:
Volume = (4/3) * pi * (radius)^3
Volume = (4/3) * 3.14 * (15)^3
Volume = 4/3 * 3.14 * 3375
Volume = 4.1867 * 3375
Volume = 14137.5
Finally, let's subtract the volume of the smaller hemisphere from the volume of the larger hemisphere to find the volume of the sculpture:
Volume of sculpture = Volume of larger hemisphere - Volume of smaller hemisphere
Volume of sculpture = 33533.6 - 14137.5
Volume of sculpture = 19396.1
Rounding to the nearest whole number, the volume of KAIRAY's sculpture is approximately 19396 cubic inches.