Question 132
The capacities of two hemispherical vessels are 6.4 litres and 21.6 litres. The ratio of their inner radii is
Solution
Given, volumes of two hemispherical vessels 6.4 litres and 21.6 litres.
We know that, Volume of a hemisphere = $$\frac{2\pi r^{3}}{3}$$
$$\frac{2\pi r_{1}^{3}}{3}$$ = 6.4/21.6
$$\frac{r_{1}^{3}}{r_{2}^{3}}$$ = $$(\frac{2}{3})^{3}$$
Hence, $$\frac{r_1}{r_2} = \frac{2}{3}$$
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