Question

# The heights of two circular cylinders of equal volume are in the ratio 1 : 2. The ratio of their radii is (a) $1:\sqrt{2}$ (b) $\sqrt{2}:1$ (c) 1 : 2 (d) 1 : 4

Solution

## (b) $\sqrt{2}:1$ Let the radii of the two cylinders be r and R and their heights be h and 2h, respectively. Since the volumes of the cylinders are equal, therefore:     $\mathrm{\pi }×{r}^{2}×h=\mathrm{\pi }×{R}^{2}×2h$ Hence, the ratio of their radii is $\sqrt{2}:1$.MathematicsRS Aggarwal (2015)Standard X

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