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| Math Central | Quandaries & Queries |
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Question from Sonia, a student: A cylinder has the same height and diameter as the sides of a cube use 3.14~ which has the greater volume |
Hi Sonia,
If $S$ is the length of a side of the cube then you can find its volume as $S^{3}.$ The radius of the base of the circle is $\large \frac{S}{2}$ and the volume of a cylinder is the area of the base times the height. You don't need to do any calculations however to answer the question. Just draw a diagram.
Image from Open Study
Penny
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