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प्रश्न
Two circular cylinders of equal volume have their heights in the ratio 1 : 2 Ratio of their radii is
पर्याय
- \[1 : \sqrt{2}\]
- \[\sqrt{2}: 1\]
1 : 2
1 : 4
उत्तर
Let V1 and V2 be the volume of the two cylinders with h1 and h2 as their heights:
Let r1 and r2 be their base radius.
It is given that
`V_1 = V_2 " and " h_1/h_2 = 1/2`
`pir_1^2 h_1 = pir_22 h_2`
`⇒ (r_1^2)/(r_2^2) = h_2/h_1`
`⇒(r_1^2)/(r_2^2) = 2`
`⇒(r_1)/(r_2) =sqrt(2)/1`
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