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If the dimensions of the following cylinder are tripled, what factor will the volume change by?A) 81B) 27C) 3D) 9

If the dimensions of the following cylinder are tripled, what factor will the volume-example-1

1 Answer

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Given the following question:


\begin{gathered} \text{ Formula for cylinder:} \\ pi* r^2*\text{h} \end{gathered}

If you multiply or triple the given dimensions you will not be multiplying the volume by 3 or 9 since you are tripling two of the dimensions ontop of the initial inclusion of pi. So ontop of tripling the given dimensions we still have to multiply by pi which means your answer isn't 3 or 9. Which gives us options A or B. A seems to be way to big of a difference in factors between the two volumes which means your best answer is indeed option B or 27.

You could substitute the values in for the formula given and solve it to receieve the two volumes, then you can divide the second volume by the given options to see which equals the first volume to prove your work.

Your answer is option B.

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