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24 June, 22:41

If the radius of a cylinder increases by a factor of 8, by what factor does the volume increase

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  1. 24 June, 23:03
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    Factor of 64.

    Step-by-step explanation:

    Volume of cylinder: V = πr²h, where V is the volume, r is the radius and h is the length or height.

    Now supposing that we multiply the radius by 8. How does the cylinder volume compare to the original volume?

    Original volume: V = πr²h

    New volume: V = π (8r) ²h = 64πr²h

    So the volume increases by a factor of 64.
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