Question

The picture below shows a container that Rene uses to freeze water: A cylinder is shown with base diameter of 6 centimeters and the height as 8 centimeters. What is the minimum number of identical containers that Rene would need to make 2000 cm3 of ice? (Use π = 3.14.)

Answer 1

The cylinder has base diameter of 6 centimeters and the height,
`h`, of 8 centimeters.

Since the base diameter of the cylinder is 6 cm, therefore, it's radius,
`r`, will be 3 cm.

Now, we know that the volume,
`V`, of such a cylinder will be:

`V=\pi r^2h`

Plugging in the values given we get the volume to be:

`V=\pi(3)^2* 8=3.14*9*8=226.08`
`cm^3`

Since Rene needs to make 2000
`cm^3` of ice and one cylinder's volume is 226.08
`cm^3`, Rene would need...

`(2000)/(226.08)\approx8.846\approx\boldsymbol{9}` such identical cylindrical containers.