Question

find h when v = 679.98 and r = 4 using the formula v = πr²h (volume of a cylinder).
h =
(simplify your answer. type an integer or decimal rounded to the nearest hundredth as needed.)

Explanation:

Step1: Rearrange the volume formula for h

Given $V = \pi r^{2}h$, we can solve for $h$ by dividing both sides by $\pi r^{2}$. So $h=\frac{V}{\pi r^{2}}$.

Step2: Substitute the given values

Substitute $V = 679.98$ and $r = 4$ into the formula for $h$. We get $h=\frac{679.98}{\pi\times4^{2}}$.
First, calculate $4^{2}=16$. Then the formula becomes $h=\frac{679.98}{16\pi}$.
Take $\pi\approx3.14$. So $h=\frac{679.98}{16\times3.14}=\frac{679.98}{50.24}$.

Step3: Calculate the value of h

$h=\frac{679.98}{50.24}=13.53$.

Answer:

$13.53$