A barrel shaped like a cylinder is laid on its side and rolled up a ramp. The barrel has a circular base that is 0.9 in diameter. If the barrel turns times in being rolled up the ramp, how long is the ramp?
Use the value 3.14
for . Round your answer to the nearest tenth. Do not round any intermediate steps.
The circumference of the circular base of the barrel is:
C = πd = 3.14(0.9) = 2.826
Each turn of the barrel on the ramp covers a distance equal to the circumference of the base. Therefore, the length of the ramp is:
L = nC = 5.5(2.826) = 15.543
Rounding to the nearest tenth, the length of the ramp is 15.5 inches.