SSC CHSL Model Paper 16

If a drop of water is spherical and its diameter is one - tenth of a cm
Then diameter $\mathit{d}=\frac{1}{10}$
⇒ radius r = $\frac{1}{20}$cm
A conical glass has a height (h) equal to the diameter of its rim (Radius = R)
h = 2R
If 32000 drops of water fill the glass completely,
then $32000\times \frac{4}{3}\times \mathit{\pi }\times {\mathit{r}}^3$ $=\frac{1}{3}\times \mathit{\pi }\times {\mathit{R}}^2\mathit{h}$
$32000\times \frac{4}{3}\times \mathit{\pi }\times {\left(\frac{1}{20}\right)}^3$ $=\frac{1}{3}\times \mathit{\pi }\times \frac{{\mathit{h}}^3}{4}$
Then h = 4 cm