Q. 74.5( 11 Votes )
A cone, a hemisphere and a cylinder stand on equal bases and have the same height. Find the ratio of their volumes.
Answer :
The cone, hemisphere and cylinder stand on equal bases which means their base radius is same
Let that base radius be r
It is given that height = r
Volume of cone = 
πr2h = 
πr3
Volume of hemisphere = 
πr3
Volume of cylinder = πr2h =πr3
Ratio of cone to hemisphere = 
= 
Ratio of hemisphere to cylinder = 
= 
⇒ ratio of volumes of all three solid = 1:2:3
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PREVIOUSThe diameter of a solid metallic hemisphere is 42 cm. Find the cost of polishing its total surface at 20 paise per square cm.NEXTThe left part of a solid is in the shape of a cylinder while the right part is in the shape of cone. The diameter of cylinder is 14 cm and height is 40 cm while the diameter of the conical part is 14 cm and height is 12 cm. Find the volume of the solid.
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