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Question
A cylinder and a cone have equal radii of their bases and equal heights. Show that their volumes are in the ratio 3:1.
Solution
Given that,
A cylinder and a cone have equal radii of their equal bases and heights
Let radius of cone=radius of cylinder=r
Let height of cone=height of cylinder=h
Let` V_1`=volume of cone
`V_2`=volume of cylinder
⇒` V_1/V_2=(1/3pir^2h)/(pir^2h)=1/3`
⇒ `V_2/V_1=3/1`
Hence their volumes are in the ratio 3 : 4.
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