Question

the formula for the volume of a cylinder is (v = pi r^{2}h). the cylinder to the right has an exact volume of (980pi) cubic meters. find its height. the height of the cylinder is (simplify your answer.)

Explanation:

Step1: Identify given values

$V = 980\pi$, $V=\pi r^{2}h$

Step2: Solve for height $h$

Since $V=\pi r^{2}h$, then $h=\frac{V}{\pi r^{2}}$. But if we assume the radius $r$ is not given and we consider the general - form with the given volume value, and assume $r = 1$ (since the problem doesn't provide $r$ and we need to solve for $h$ in terms of the given volume information), we have $h=\frac{980\pi}{\pi\times1^{2}}$. Canceling out $\pi$ from the numerator and denominator, we get $h = 980$.

Answer:

$980$