Question

The empty gas tank of a truck needs to be completely filled. The tank is shaped like a cylinder that is 5 ft long with a diameter of 2.4 ft. Suppose gas is poured into the tank at a rate of 2.3ft^3 per minute. How many minutes does it take to fill the empty tank? Use the value 3.14 for pie and round your answer to the nearest minute. Do not round any intermediate computations.

Answer 1

Explanation:

h = 5 ft

diameter = 2.4 ft

Radius is half of diameter

r = 2.4/2 = 1.2 ft

Now, find the volume of the tank

Volume = πr²h

= 3.14 * 1.2 *1.2 * 5

= 22.608 cubic ft

Time taken to fill the tank = Volume of tank ÷ volume of gas filled per minute

= 22.608 ÷ 2.3

= 9.8

= 10 minutes