Question

A glass cylinder with a diameter 20 cm 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 π = 3.142)

Answer 1

Suppose the water rises by h cm.
Clearly water in the cylinder forms a cylinder of height h cm and radius 10 cm.
∴ The volume of the water displaced = Volume of the cube of edge 8 cm.
⇒ πr²h = 8³
⇒ 3.142 x 10² x h = 8 x 8 x 8

⇒ `(8 xx 8 xx 8)/(3.142 xx 10 xx 10)` cm = h

⇒ h = 1.6 cm.