Question

a concrete pillar has the shape of a cylinder. it has a diameter of 8 meters and a height of 6 meters. if concrete costs $106 per cubic meter, how much did the concrete cost for the pillar? use 3.14 for π, and do not round your answer.

Explanation:

Step1: Calculate the radius

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

Step2: Calculate the volume of the cylinder

The volume formula of a cylinder is $V=\pi r^{2}h$. Substitute $r = 4$ meters, $h = 6$ meters and $\pi=3.14$ into the formula. So $V=3.14\times4^{2}\times6=3.14\times16\times6 = 301.44$ cubic - meters.

Step3: Calculate the cost

The cost per cubic - meter is $106$. Multiply the volume by the cost per cubic - meter. So the cost $C = 106\times V=106\times301.44 = 31952.64$.

Answer:

$31952.64$