A cylinder labeled X has a height of 12 inches and a radius of 10 inches. Another cylinder labeled Y has a height of 36 inches and a radius of 30 inches. The volume of cylinder Y is _______ times the volume of cylinder X.

Question

A cylinder labeled X has a height of 12 inches and a radius of 10 inches. Another cylinder labeled Y has a height of 36 inches and a radius of 30 inches.  The volume of cylinder Y is _______ times the volume of cylinder X.

anonymous · Answer

@ganeshie8

kirbykirby · Answer

$\text{volume of cylinder} = A_b\times h = \pi r^2 \times h$

So what you should do is find the volume of cylinder X and the volume of cylinder Y, then divide the volume of Y by the volume of X to know by how much volume of Y compares to volume of X

anonymous · Answer

okay 1 moment

anonymous · Answer

Is the answer 1:26.986 when rounded 1:27

kirbykirby · Answer

yes 27 is the right number. In fact, if you leave $\pi$ written as a symbol itself, rather than an approximation, you get exactly 27:

$$\frac{32400\pi}{1200\pi}=\frac{32400}{1200}=27 $$

anonymous · Answer

So, just 27 is the answer?

kirbykirby · Answer

yes since the volume for Y is $32400\pi$ which is 27 times  the volume of X ($1200 \pi$)

kirbykirby · Answer

It just fits how the question is worded, whereas 1:27 is a ratio and doesn't fit as much with the blank in how the sentence is read

anonymous · Answer

Ok and thanks

kirbykirby · Answer

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