Question

a company rents water tanks shaped like cylinders. each tank has a diameter of 8 feet and a height of 2 feet. the cost is $5 per cubic foot. how much does it cost to rent one water tank? for your calculations, do not round any intermediate steps, and use the π button on a calculator. round your answer to the nearest cent.

Explanation:

Step1: Calculate the radius of the cylinder

The diameter $d = 8$ feet, so the radius $r=\frac{d}{2}=\frac{8}{2}=4$ feet.

Step2: Calculate the volume of the cylinder

The volume formula for a cylinder is $V=\pi r^{2}h$. Substitute $r = 4$ feet and $h = 2$ feet. So $V=\pi\times(4)^{2}\times2=\pi\times16\times 2 = 32\pi$ cubic - feet.

Step3: Calculate the cost

The cost per cubic - foot is $\$5$. So the total cost $C = 5\times V=5\times32\pi=160\pi$. Using the $\pi$ button on the calculator, $C\approx160\times3.14159 = 502.6544$.

Step4: Round to the nearest cent

Rounding $502.6544$ to the nearest cent gives $\$502.65$.

Answer:

$\$502.65$