a cylinder and cone have bases of equal radii under equal Heights show that their volumes are in the ratio of 3 isto 1
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Radius of cylinder = Radius of cone
rcy. = rco
Height of cylinder = Height of cone
hcy. = hco
Volume of cylinder = Volume of cone
pie (rcy)2 hcy = 1/3 pie (rco)2 hco
pie = 1/3 pie ( Because both radius and heights of solids are cancelled as they are equal.)
3 pie = pie (By cross multiply)
By cancelling pie we get,
3 = 1
SO PROVED.
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