> Solution 3 : 1 πr21h1=πr22h2 [∴volume of cylinder=πr2h] ⇒r21r22=h2h1⇒(r1r2)2=91⇒r1r2=√91⇒r1r2=31 Hence, r1:r2=3:1 Mathematics NCERT Exemplar Standard VIII 4 |
> Two cylinders of equal volume have heights in the ratio 1 : 9. The ratio of their radii is . Solution 3 : 1 πr21h1=πr22h2 [∴volume of cylinder=πr2h] ⇒r21r22=h2h1⇒(r1r2)2=91⇒r1r2=√91⇒r1r2=31 Hence, r1:r2=3:1 Mathematics NCERT Exemplar Standard VIII 4
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