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.

Answer 1

First, we need to calculate the volume of the larger hemisphere with a radius of 20 inches:

Volume of 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 = 16747.47 cubic inches

Next, we need to calculate the volume of the smaller hemisphere with a radius of 15 inches:

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 = 7069.5 cubic inches

Now, we can find the volume of Kairay's sculpture by subtracting the volume of the smaller hemisphere from the volume of the larger hemisphere:

Volume of sculpture = Volume of larger hemisphere - Volume of smaller hemisphere
Volume of sculpture = 16747.47 - 7069.5
Volume of sculpture = 9677.97 cubic inches

Therefore, the volume of Kairay's sculpture is approximately 9677.97 cubic inches.