Q:

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 Ο€ = 3.14.)

Accepted Solution

A:
The cylinder has base diameter of 6 centimeters and the height, [tex] h [/tex], of 8 centimeters.Since the base diameter of the cylinder is 6 cm, therefore, it's radius, [tex] r [/tex], will be 3 cm.Now, we know that the volume, [tex] V [/tex], of such a cylinder will be:[tex] V=\pi r^2h [/tex]Plugging in the values given we get the volume to be:[tex] V=\pi(3)^2\times 8=3.14\times9\times8=226.08 [/tex] [tex] cm^3 [/tex]Since Rene needs to make 2000 [tex] cm^3 [/tex] of ice and one cylinder's volume is 226.08 [tex] cm^3 [/tex], Rene would need...[tex] \frac{2000}{226.08}\approx8.846\approx\boldsymbol{9} [/tex] such identical cylindrical containers.