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](https://tex.z-dn.net/?f=%5Crm%20Volume%5C%3Bof%5C%3Bcylinder%3D%5Cpi%20r%5E2h)
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](https://tex.z-dn.net/?f=%5Crm%20Volume%5C%3Bpitcher%3D%5Cpi%5C%3B%5Ctimes%5C%3B4%5E2%5C%3B%5Ctimes%5C%3B11%5C%3Binch%5E3%5C%5CVolume%5C%3Bpitcher%3D176%5Cpi%20inch%5E3)
The volume of one small can is:
![\rm Volume\;can=\pi\;\times\;2^2\;\times\;6\;inch^3\\Volume\;can=24\;\pi\;inch^3](https://tex.z-dn.net/?f=%5Crm%20Volume%5C%3Bcan%3D%5Cpi%5C%3B%5Ctimes%5C%3B2%5E2%5C%3B%5Ctimes%5C%3B6%5C%3Binch%5E3%5C%5CVolume%5C%3Bcan%3D24%5C%3B%5Cpi%5C%3Binch%5E3)
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}](https://tex.z-dn.net/?f=%5Cbegin%7Baligned%7D%20%5Crm%20Number%5C%3Bof%5C%3Bcans%20%26%20%3D%5Crm%20%5Cdfrac%7BTotal%5C%3Bvolume%7D%7BVolume%5C%3Bof%5C%3Bcan%7D%5C%5C%5C%5C%5Crm%20%26%3D%5Crm%20%5Cdfrac%7B176%5C%3B%5Cpi%5C%3Binch%5E3%7D%7B24%5C%3B%5Cpi%5C%3Binch%5E3%7D%5C%5C%5C%5C%26%3D%5Crm%207.3%5Cend%7Baligned%7D)
Kathryn in order to fill the cylinder required 7.3 cans.
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Authoritarian
Explanation: An authoritarian ruler is basically a dictator, not allowing any freedom of choice. Authoritative provides some parental control, but probably with limits. Permissive is lenient.
Never leave the motor running in a vehicle parked in an enclosed or partially enclosed space, such as a garage. Never run a motor vehicle, generator, pressure washer, or any gasoline-powered engine less than 20 feet from an open window, door, or vent where exhaust can vent into an enclosed area.
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Answer:
Bibliophile = lover of books, someone with a great love of books.
Explanation:
the word bibliophile comes from Greek biblion ‘book’ + philos ‘loving’.