Question

A cylindrical container is used to hold drinking water on the sidelines for a football team. The maximum capacity of the container is 26,460 mL. If the height of the container is 60 cm, what is the radius of the cylinder? (1 mL = 1 cm3)

A. 21 cm B. 7.35 cm C. 220.5 cm D. 42 cm

Answer 1

To solve this we are going to use the formula for the volume of a cylinder:
`V= \pi r^2h`
where

`V` is the volume of the cylinder in cube centimeters

`r` is the radius of the cylinder in centimeters

`h` is the height of the cylinder in centimeters

We know for the problem that volume of our cylinder is 26,460 mL. Since 1 mL =
`1cm^3`, the volume of our cylinder is
`26460cm^3`. We also know for our problem that the height of our cylinder is 60 cm, so
`h=60`. Lets replace those values in our formula and solve for
`r`:

`V= \pi r^2h`

`26460= \pi r^2(60)`

`26460=60 \pi r^2`

`r^2= (26460)/(60 \pi )`

`r^2= (441)/( \pi )`

`r= \sqrt{ (441)/( \pi ) }`

`r= (21)/( √( \pi ) )`

`r=11.8`

We can conclude that the radius of the football team's cylindrical container is 11.8 cm