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a company sells water - tanks shaped like cylinders. each tank has a di…

Question

a company sells water - tanks shaped like cylinders. each tank has a diameter of 6 feet and a height of 2 feet. the cost is $1 per cubic foot. how much does it cost to fill one water - tank? use 3.14 for $pi$ and do not round your answer.

Explanation:

Step1: Calculate the radius of the cylinder

The diameter $d = 6$ feet, so the radius $r=\frac{d}{2}=\frac{6}{2}=3$ feet.

Step2: Calculate the volume of the cylinder

The volume formula of a cylinder is $V=\pi r^{2}h$. Substitute $r = 3$ feet, $h = 2$ feet and $\pi=3.14$ into the formula. So $V=3.14\times3^{2}\times2=3.14\times9\times2 = 56.52$ cubic - feet.

Step3: Calculate the cost

The cost is $1$ dollar per cubic - foot. Multiply the volume by the cost per cubic - foot. So the cost $C=V\times1=56.52\times1 = 56.52$ dollars.

Answer:

$56.52$