An unopened can of Coke contains 226.08 cubic centimeters of liquid. What is the diameter of the can if the height is 8 cm?

1 Answer
Dec 2, 2017

The diameter is #6cm#. See explanation.

Explanation:

The coke can is a cylinder. In the question the volume and the height is given, and we have to calculate the diameter.

If we look at the volume formula we see:

#V=pir^2h#

If we transform it, we can calculate the radoius as:

#r=sqrt(V/(pi*h))#

So the diameter is:

#d=2*sqrt(V/(pi*h))#

If we substitute the given data we get:

#d=2*sqrt(226.08/(3.14*8))#

#d=6#