Question

How much bigger is a the volume of a cone with radius of
14
14 feet and a height of
21
21 feet than a cone with radius of
8
8 feet and a height of
21
21 feet? Use 3.14 for π.

Answer 1

First, we need to calculate the volume of each cone.

For the cone with radius 14 feet and height 21 feet:
Volume = (1/3) * π * 14^2 * 21
Volume = (1/3) * 3.14 * 196 * 21
Volume = 20592.08 cubic feet

For the cone with radius 8 feet and height 21 feet:
Volume = (1/3) * π * 8^2 * 21
Volume = (1/3) * 3.14 * 64 * 21
Volume = 1337.28 cubic feet

Now we can calculate the difference in volumes:
20592.08 - 1337.28 = 19254.8 cubic feet

Therefore, the cone with radius 14 feet and height 21 feet has a volume that is 19254.8 cubic feet larger than the cone with radius 8 feet and height 21 feet.