Question

A cylinder with a height of 3in has a volume of 150.72in. What is the radius length of the

cylinder?
(use 3.14)
Radius of the cylinder:
in

Answer 1

The radius is

`4\: inches`

Explanation:

The volume of a cylinder is

`\pi {r}^(2) h`

Since the question already gave us

`v= 150.72 \: \: \ \: \: \: \: h = 3 \: \: \: \: \: \: \: r = x \: \: \: \\ \pi = 3.14`

We can now solve for the radius

`v = \pi{r}^(2) h \\ 150.72 = (3.14) {r}^(2) (3) \\ \\ (150.72)/(3.14) = {r}^(2)(3) \\ \\ 48 = {r}^(2) (3)`

`(48)/(3) = {r}^(2) \\ \\ 16 = {r}^(2) \\ \\ √(16) = \sqrt{ {r}^(2) } \\ \\ 4 = r`