Question

The volume of one can is 300 cubic centimeters. What is the radius of this can? Round to the nearest hundredth.

Answer 1

Volume of cylinder

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

Volume of the can = 300

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

`300 = (22)/(7) {r}^(2) h`

`300 * (7)/(22) = {r}^(2) h`

`150 * (7)/(11) = {r}^(2) h`

`95.45 = { r}^(2) h`

`(95.45)/(h) = {r}^(2)`

`\sqrt{ (95.45)/(h) } = r`

`( √(95.45) )/( √(h) ) = r`