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Mathematics 8 Online
OpenStudy (anonymous):

what happens when you double the dimensions of a cylinder

OpenStudy (anonymous):

please help

OpenStudy (primeralph):

The surface area and volume increase,

OpenStudy (anonymous):

^ he's right

OpenStudy (anonymous):

obviously but i know the volume is 4 times greater but what about the surface area

OpenStudy (primeralph):

Well, calculate it.

OpenStudy (anonymous):

wow i bet im better at you at math what grade are you in

OpenStudy (primeralph):

And the volume is more than 4 time greater. yeah, you bet you're better than me at Math.

OpenStudy (anonymous):

nope becuase i calculated it

OpenStudy (primeralph):

Show me.

OpenStudy (anonymous):

OpenStudy (anonymous):

see

OpenStudy (primeralph):

V = pi *r*r*h When dimensions are doubled, V = pi*2r*2r*2h = 8pi *r*r*h So the new volume is 8 times the original.

OpenStudy (anonymous):

then what did I do wrong?????????????????

OpenStudy (anonymous):

OHHHHHHHHH

OpenStudy (primeralph):

You said V = pi*r^2. You left out the h. Looks like you're really good at Math.

OpenStudy (anonymous):

yeah well i have a headache and i just had the flu

OpenStudy (primeralph):

Of course. Good luck.

OpenStudy (anonymous):

Volume increases as the cube of the dimensional ratio increase; area will change as the square. In the case where the length of everything doubles, that means volume increases by a factor of eight, area by a factor of four.

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