Question

1. 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. 60π m³
b. 120π m³
c. 360π m³
d. 720π m³

Explanation:

Step1: Find the radius

Given diameter $d = 12$ m, radius $r=\frac{d}{2}=\frac{12}{2}=6$ m.

Step2: Use the cylinder - volume formula

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

Step3: Calculate the volume

$V=\pi\times36\times10 = 360\pi$ $m^{3}$.

Answer:

C. $360\pi$ $m^{3}$