Question

a cylindrical water tank has a diameter of 12 meters and a height of 10 meters. what is its volume in terms of π?
a. 120π m³
b. 60π m³
c. 360π m³
d. 720π m³

Explanation:

Step1: Find the radius of the cylinder

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

Step2: Use the formula for the volume of a cylinder

The formula for the volume of a cylinder is \(V=\pi r^{2}h\). Substitute \(r = 6\) meters and \(h = 10\) meters into the formula: \(V=\pi\times6^{2}\times10\).

Step3: Calculate the value

First, calculate \(6^{2}=36\). Then \(V=\pi\times36\times 10=360\pi\mathrm{m}^3\).

Answer:

C. \(360\pi\mathrm{m}^3\)