Question

the formula for the volume of a cylinder is v = πr²h. the cylinder to the right has an exact volume of 980π 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 $V = \pi r^{2}h$. Given $V = 980\pi$ and $r = 7$.

Step2: Substitute values

Substitute $V$ and $r$ into the formula: $980\pi=\pi\times7^{2}\times h$.

Step3: Simplify equation

First, calculate $7^{2}=49$. The equation becomes $980\pi = 49\pi h$. Divide both sides of the equation by $49\pi$. Since $\frac{980\pi}{49\pi}=\frac{980}{49}=20$, we get $h = 20$.

Answer:

20