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Mathematics 19 Online
OpenStudy (anonymous):

help please

OpenStudy (anonymous):

what's the question?

OpenStudy (anonymous):

he volume of a cylinder is 93 cubic feet. What is the volume of a cone that fits exactly inside the cylinder? Provide an explanation and proof for your answer to receive full credit.

OpenStudy (anonymous):

the*

OpenStudy (anonymous):

I dont remember how to do this, sorry :x

OpenStudy (anonymous):

@ganeshie8 @ParthKohli

OpenStudy (anonymous):

@beccaboo333

OpenStudy (anonymous):

thanks anyways ari97

OpenStudy (beccaboo333):

>_> I don't know either

OpenStudy (anonymous):

darn

OpenStudy (beccaboo333):

Sorry I'm not the greatest with math. But my good man @ganeshie8 might be able to help you ._.

OpenStudy (anonymous):

alright

ganeshie8 (ganeshie8):

...What is the volume of a cone that fits exactly inside the cylinder?

ganeshie8 (ganeshie8):

that means, cone must have the same radius and height as the cylinder

ganeshie8 (ganeshie8):

can you write down the formulas for volume of cone and cylinder ?

OpenStudy (anonymous):

v=pi r^2 (h/3)

ganeshie8 (ganeshie8):

thats for cone or cylinder ?

OpenStudy (anonymous):

cone

ganeshie8 (ganeshie8):

okay :) what about cylinder ?

OpenStudy (anonymous):

v= pi r^2 h

ganeshie8 (ganeshie8):

Yes, so we have : Volume of cylinder of radius r and height h = \(\large \pi r^2 h\) Volume of cone that fits inside the cylinder having same radius and height = \(\large \dfrac{1}{3}\pi r^2 h\)

ganeshie8 (ganeshie8):

see any relationship between the two volumes ?

OpenStudy (anonymous):

\[\pi r^2 h\]

ganeshie8 (ganeshie8):

here is the relation : Volume of cone = 1/3 * (Volume of cylinder)

OpenStudy (anonymous):

do i just take 93 and divide by 1/3

ganeshie8 (ganeshie8):

yup !

OpenStudy (anonymous):

31

ganeshie8 (ganeshie8):

31 is right !

OpenStudy (anonymous):

is that the answer

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