Question

a company rents water tanks shaped like cylinders. each tank has a diameter of 12 feet and a height of 3 feet. the cost is $2 per cubic foot. how much does it cost to rent one water tank? use 3.14 for π, and do not round your answer

Explanation:

Step1: Find the radius of the cylinder

The diameter $d = 12$ feet, so the radius $r=\frac{d}{2}=\frac{12}{2}=6$ feet.

Step2: Calculate the volume of the cylinder

The volume formula for a cylinder is $V=\pi r^{2}h$. Substitute $r = 6$ feet, $h = 3$ feet and $\pi=3.14$. So $V=3.14\times6^{2}\times3=3.14\times36\times3 = 339.12$ cubic - feet.

Step3: Calculate the cost

The cost is $2$ dollars per cubic - foot. So the total cost $C = 2\times V$. Substitute $V = 339.12$ cubic - feet, then $C=2\times339.12 = 678.24$ dollars.

Answer:

$678.24$