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Ivahew [28]
2 years ago
11

Kathryn is using cans of juice to fill a cylindrical pitcher that is 11 in. tall and has a radius of 4 in. each can of juice is

6 in. tall with a radius of 2 in. how many cans of juice will kathryn need?
SAT
1 answer:
Anarel [89]2 years ago
4 0

The number of cans required by Kathryn to fill the pitcher cylinder is 7.3 cans.

<h3>What is volume of cylinder?</h3>

The volume of cylinder is given as the space occupied in the interior of the cylinder. It is given by:

\rm Volume\;of\;cylinder=\pi r^2h

The volume of the cylinder pitcher to be filled is:

\rm Volume\;pitcher=\pi\;\times\;4^2\;\times\;11\;inch^3\\Volume\;pitcher=176\pi inch^3

The volume of one small can is:

\rm Volume\;can=\pi\;\times\;2^2\;\times\;6\;inch^3\\Volume\;can=24\;\pi\;inch^3

The volume given by one can is 24 times pi. The number of cans required to fill the pitcher is:

\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}

Kathryn in order to fill the cylinder required 7.3 cans.

Learn more about volume, here:

brainly.com/question/1578538

#SPJ1

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