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प्रश्न
A cone and a hemisphere have the same base and the same height. Find the ratio between their volumes.
बेरीज
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उत्तर
Let the radius of base be 'r' and the height be 'h'
Volume of cone, `V_c`
= `1/3pir^2h`
Volume of hemisphere, `V_h`
= `2/3pir^3`
`V_c/V_h = (1/3pir^2r)/(2/3pir^3)`
`=> V_c/V_h = 1/2`
1 : 2
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