katy187 katy187
  • 12-02-2020
  • Mathematics
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if the radius of a cylinder increases by a factor of 8, by what factor does the volume increase

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altavistard
altavistard altavistard
  • 12-02-2020

Answer:

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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