Question

A cylinder with radius 14 cm is partially filled with water. A cuboid with demensions 22cm ×16cm×7cm is immersed in it. Then what will be the rise in height of water in the cylinder after the cuboid is immersed ?​

Answer 1

Answer:

The level of water increased in the cylinder is 4 cm.

Step-by-step explanation:

Formula used:

Volume of cylinder $=\pi\:r^2\:h$ cubic units

Volume of cuboid = l*b*h cubic units

Given:

Radius of the cylinder r = 14 cm

When the cuboid is immersed in water

volume of the water raised in the cylinder = volume of the cuboid

$\pi\:r^2\:h= l*b*h\\\\\frac{22}{7}*(14)^2h=22*16*7\\\\h=\frac{22*16*7*7}{14*14*22}\\\\h=\frac{16*7*7}{14*14}\\\\h=\frac{16}{2*2}\\\\h =4\:cm$

The level of water increased in the cylinder is 4 cm.