The number of cans required by Kathryn to fill the pitcher cylinder is 7.3 cans.
The volume of cylinder is given as the space occupied in the interior of the cylinder. It is given by:
[tex]\rm Volume\;of\;cylinder=\pi r^2h[/tex]
The volume of the cylinder pitcher to be filled is:
[tex]\rm Volume\;pitcher=\pi\;\times\;4^2\;\times\;11\;inch^3\\Volume\;pitcher=176\pi inch^3[/tex]
The volume of one small can is:
[tex]\rm Volume\;can=\pi\;\times\;2^2\;\times\;6\;inch^3\\Volume\;can=24\;\pi\;inch^3[/tex]
The volume given by one can is 24 times pi. The number of cans required to fill the pitcher is:
[tex]\begin{aligned} \rm Number\;of\;cans & =\rm \dfrac{Total\;volume}{Volume\;of\;can}\\\\\rm &=\rm \dfrac{176\;\pi\;inch^3}{24\;\pi\;inch^3}\\\\&=\rm 7.3\end{aligned}[/tex]
Kathryn in order to fill the cylinder required 7.3 cans.
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