Problema Solution
The gas tank of a truck is a cylinder 3ft long with a diameter of 2ft. At the gas station, a pump pours gas at the rate of 4ft^3 per minute. How many minutes does it take to fill the empty tank with that pump? Use the value 3.14 for (pie), and round your answer to the nearest minutes.
Answer provided by our tutors
h = 3ft the height of the cylinder
d = 2 ft the diameter of the cylinder
r = d/2 = 2/2 = 1 ft the radius of the cylinder
the volume of the cylinder is
V = r^2*pi*h
V = 1^2*3.14*3
V = 9.42 ft^3
the rate of the gas pump is v = 4 ft^3/min
the rate of pumping = the volume of cylinder/the time of the pumping
v = V/t => t = V/v
the number of the minutes is
t = V/v = 9.42/4 = 2.355 min = 2 min rounded to the nearest minute.