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Mathematics 14 Online
OpenStudy (babynini):

A right circular cylinder is inscribed in a cone with height h and base radius r. Find the largest possible volume of such a cylinder. Help!

OpenStudy (babynini):

|dw:1448151972702:dw| Is my interpretation of the question.

OpenStudy (solomonzelman):

I think radius r and height h belong to the cone.

OpenStudy (babynini):

ooh yeah you're right.

OpenStudy (babynini):

|dw:1448152226416:dw|

OpenStudy (solomonzelman):

\(\large\color{black}{ \displaystyle {\rm V}_{\rm cone}=\frac{ \pi }{3}\cdot h\cdot r^2 }\)

OpenStudy (solomonzelman):

Let me think...

OpenStudy (babynini):

Wait I have an idea. lemme see.

OpenStudy (solomonzelman):

ok, go ahead ...

OpenStudy (babynini):

|dw:1448152413929:dw|gives us similar triangles.

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