Question

A container with a rectangular base of length $4.4$ m and breadth $2$ m is used to collect rain water. The height of the water level in the container is $4$ cm and water is transferred into a cylinder vessel with radius $40cm$. What will be the height of water level in the cylinder?

• A. $60$ cm
• B. $70$ cm
• C. $75$ cm
• D. $80$ cm

Answer 1

Answer: (B)

$70$ cm

Here Length and breadth of rectangular base $=4.4m$ and $2m$

$440cm$ and $200cm$

Height of water level in container $=4cm$

Radius of cylinder $=40cm$

Let height of the water level in cylinder be $H$.

Since, same water is transferred into another cylindrical container

Therefore,

Volume of water in rectangular container $=$ volume of water in cylinder

Length $\times$ Breadth $\times$ Height of water level $=\pi (radius{)}^2\times$ level in cylinder

$440\times 200\times 4=\frac{22}{7}\times (40{)}^2\times H$

$H=\frac{440\times 200\times 4\times 7}{22\times 40\times 40}$

$H=\frac{40\times 5\times 7}{2\times 10}$

$H=\frac{2\times 5\times 7}{1}$

$H=70cm$

Hence, Water level in cylinder will be $70cm$.