Question

a concrete pillar has the shape of a cylinder. it has a diameter of 12 meters and a height of 4 meters. if concrete costs $82 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: Find the radius of the cylinder

The diameter \(d = 12\) meters. The radius \(r=\frac{d}{2}=\frac{12}{2}=6\) meters.

Step2: Calculate the volume of the cylinder

The volume formula of a cylinder is \(V=\pi r^{2}h\). Substitute \(\pi = 3.14\), \(r = 6\) meters, and \(h = 4\) meters.
\(V=3.14\times6^{2}\times4=3.14\times36\times4 = 452.16\) cubic meters.

Step3: Calculate the cost of the concrete

The cost per cubic meter is \(\$82\). Multiply the volume by the cost per - cubic - meter.
\(C=82\times V\). Substitute \(V = 452.16\)
\(C=82\times452.16=37077.12\)

Answer:

\(37077.12\)