Examples of Math Problems: If a cone's radius is tripled and its height is quadrupled, then which of the following statements about its volume will be true?

Thursday, June 27, 2013

If a cone's radius is tripled and its height is quadrupled, then which of the following statements about its volume will be true?

For a cone V=%281%2F3%29pi%2Ar%5E2%2Ah

V=%281%2F3%29pi%2Ar%5E2%2Ah

with a new
r%5B1%5D=3r

r%5B1%5D=3r

and

h%5B1%5D=4h

V%5B1%5D=%281%2F3%29pi%2A%283r%29%5E2%2A%284h%29=36V

So the new volume is 36 times greater than the old volume

:)

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