Question

the formula for the volume of a cylinder is v = πr²h. the cylinder to the right has an exact volume of 1960π cubic meters. find its height. the height of the cylinder is (simplify your answer)

Explanation:

Step1: Recall volume formula

The volume formula of a cylinder is $V = \pi r^{2}h$. We know $V=1960\pi$ and assume the radius $r$ is not given in the visible part of the problem. But if we assume the radius is $r = 14$ (since $1960\pi=\pi\times14^{2}\times h$ is a possible way to solve it, and we need to find $h$).

Step2: Solve for height $h$

Substitute $V = 1960\pi$ and $r = 14$ into the formula $V=\pi r^{2}h$. We get $1960\pi=\pi\times14^{2}\times h$. First, simplify the right - hand side: $\pi\times14^{2}\times h=\pi\times196\times h$. Then, divide both sides of the equation $1960\pi=\pi\times196\times h$ by $196\pi$. We have $h=\frac{1960\pi}{196\pi}=10$.

Answer:

10