A cylinder has a radius of 8 inches in a volume of approximately 2411.52 cubic inches what is the height of a cone with the same volume and radius as the cylinder
The volume of a cylinder is given by the formula V = πr^2h, where r is the radius and h is the height. Since we know the radius of the cylinder is 8 inches and the volume is approximately 2411.52 cubic inches, we can plug these values into the formula to solve for h:
2411.52 = π(8^2)h
Simplifying,
2411.52 = 64πh
Dividing both sides by 64π,
h = 2411.52 / 64π
Using a calculator to approximate π to 3.14159,
h ≈ 2411.52 / (64 * 3.14159)
h ≈ 12.03
Therefore, the height of the cone with the same volume and radius as the cylinder is approximately 12.03 inches.