A barrel shaped like a cylinder is laid on its side and rolled up a ramp. The barrel has a circular base that is in diameter. If the barrel turns times in being rolled up the ramp, how long is the ramp?

Use the value for

The distance that the barrel travels in one revolution is equal to the circumference of its circular base, which is

The total distance traveled by the barrel up the ramp is the product of this distance and the number of revolutions:

So the length of the ramp is approximately 56.55 inches.