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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
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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 ._.
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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)
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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 = \(\large \dfrac{1}{3}\pi r^2 h\)
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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 !
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