The gas tank of a truck is a cylinder 4ft long with a diameter of 2ft . At the gas station, a pump pours gas at the rate of 3ft^3 per minute. How many minutes does it take to fill the empty tank with that pump?

Use the value for pi (3.14) , and round your answer to the nearest minute.

Question

The gas tank of a truck is a cylinder 4ft  long with a diameter of 2ft . At the gas station, a pump pours gas at the rate of 3ft^3 per minute. How many minutes does it take to fill the empty tank with that pump?

Use the value  for pi (3.14) , and round your answer to the nearest minute.

anonymous · Answer

volume of tank=length(4') x surface area of the top of the cylinder (circle)
top of the cylinder pi x r<2 Since d=2 or r=1
so top of cylinder is 3.14  sf
total volume of cylinder is 4'x3.14'=12.56cubic feet.
The filling rate is 3 cubic feet/minute
the tank will be filled in 12.56/3   =  4.18 minutes