Question

A glass cylinder with diameter 14 cm has water to a height of 7 cm. A metal cube of 8 cm edge is immersed in it completely. Calculate the height by which water will rise in the cylinder.

• A. 4 cm
• B. 6.6 cm
• C. 3.3 cm
• D. 3 cm

Answer 1

The correct option is C

3.3 cm

Volume of water displaced in cylinder = Volume of the metal cube

Let the height of water raised = h cm

Volume of water displaced in cylinder =$\pi (7{)}^{2}h[d=14,r=\frac{d}{2}=7cm]$

Volume of cube = $(8\times 8\times 8)c{m}^3$

$\pi (7{)}^{2}h=8\times 8\times 8$

$h=\frac{8\times 8\times 8\times \text{/}7}{22\times 7\times \text{/}7}=3.3cm$

Hence the water will rise by 3.3 cm