Question

A glass with diameter 20 cm has water to a height of 9 cm . A metal cube of 8 cm edge is immersed in it completely. calculate the height by which water will rise in the cylinder . (take $\pi =3.412)$

Answer 1

Suppose the water rise by $h$ cm .

clearly , water in the cylinder forms a cylinder of height h cm and radius $10$ cm.

$\therefore$ volume of the water displaced = volume of the cube of edge $8$ cm

$\Rightarrow \pi r^{2}h=8^3$

$\Rightarrow 3.142\times {10}^2\times h=8\times 8\times 8$

$\Rightarrow h=\frac{8\times 8\times 8}{3.412\times 10\times 10}cm=1.6cm$