Question

if 5 litres of water are drawn from a cylindrical container of internal diameter 56cm find the drop in the level of water in the container​

Answer 1

the drop in the level of water in the container is 2.03 cm

Explanation:

The volume of a cylinder can be written as;

`V = \pi r^2h=(\pi d^2h)/(4) \\where;\\r = radius \\h = height \\d = diameter`

the change in height when the volume changes can be derived by differentiating the equation.

`dV =(\pi d^2)/(4) dh\\dh = dV(4)/(\pi d^2)`

substituting the given values;

`\left \{ {{dV=5 litres= 5000cm^3} \atop {d=56 cm}} \right.`

`dh = 5000(4)/(\pi * 56^2)\\dh = 2.03cm`

the drop in the level of water in the container is 2.03 cm