Question

The empty gas tank of a truck needs to be completely filled. The tank is shaped like a cylinder that is 4ft long with a diameter of 1.6 ft. Suppose gas is poured into the tank at a rate of 1.7ft3 per minute. How many minutes does it take to fill the empty tank?

Use the value 3.14 for , and round your answer to the nearest minute. Do not round any intermediate computations.

Answer 1

5 minutes

Explanation:

`from \: the \: above \: quetion \: we \: are \: expected \: to \: find \: time \\ time = ( volume)/(rate) \\ calculating \: volume \\ volume = area \: * lenght \\ area \: of \: the \: tank = \pi \: r {}^(2) \\ area \: ofthe \: tank = 3.14 * (1.6)/(2) \\ area \: of \: the \: tank = 3.14 * 0.8 {2}^(2) = 2.0096 {}^{} \\ volume = 2.0096 * 4 = 8.0384cm {}^(3) \\ time = (8.0384)/(1.7) \\ time = 4.728470588\\ time = 5 \: mins \: ( to \: nearest \: minutes)`