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प्रश्न
A cone and a hemisphere have the same base and the same height. Find the ratio between their volumes.
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`
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