Question

part b. a cylinder has a volume of 100 cm³ and a radius r of 5cm. what is its height h in centimeters? 4π cm 4/π cm π/4 cm 2500/π cm

Explanation:

Step1: Recall cylinder volume formula

The volume formula of a cylinder is $V=\pi r^{2}h$, where $V$ is volume, $r$ is radius and $h$ is height.

Step2: Substitute given values

We know that $V = 100\ cm^{3}$ and $r = 5\ cm$. Substituting into the formula gives $100=\pi\times(5)^{2}\times h$.

Step3: Solve for $h$

First, calculate $(5)^{2}=25$. The equation becomes $100 = 25\pi h$. Then, $h=\frac{100}{25\pi}=\frac{4}{\pi}\ cm$.

Answer:

$\frac{4}{\pi}\ cm$