Mathematics, 14.11.2019 20:31 hmu323
The height and radius of a cylinder are both enlarged by the same factor. the volume of the new cylinder is 64 times the volume of the original cylinder. by what factor were the original height and the original radius enlarged?
Answers: 2
![\bf \qquad \qquad \textit{ratio relations} \\\\ \begin{array}{ccccllll} &Sides&Area&Volume\\ &-----&-----&-----\\ \cfrac{\textit{similar shape}}{\textit{similar shape}}&\cfrac{s}{s}&\cfrac{s^2}{s^2}&\cfrac{s^3}{s^3} \end{array} \\\\ -----------------------------\\\\ \cfrac{\textit{similar shape}}{\textit{similar shape}}\qquad \cfrac{s}{s}=\cfrac{\sqrt{s^2}}{\sqrt{s^2}}=\cfrac{\sqrt[3]{s^3}}{\sqrt[3]{s^3}}\\\\ -------------------------------\\\\](/tpl/images/0374/5715/70089.png)
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The height and radius of a cylinder are both enlarged by the same factor. the volume of the new cyli...
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