A rectangular water tank of base 11 m × 6 m contains water upto a height of 5 m. If the water in the tank is transferred to a cylindrical tank of radius 3.5 m, find the height of the water level in the tank

Solution:

Given, a rectangular water tank of base 11 m × 6 m contains water upto a height of 5 m.

The water in the tank is transferred to a cylindrical tank of radius 3.5 m.

We have to find the height of the tank.

 Volume of water in the rectangular tank = length × width × height

= 11 × 6 × 5

= 11 × 30

= 330 m³

Volume of cylinder = πr²h

= (22/7)(3.5)²h

= 38.5h m³

Given, water in a rectangular tank is transferred to a cylindrical tank.

So, the volume of water is the same in both the tanks.

38.5h = 330

h = 330/38.5

h = 8.57 m

Therefore, the height of water in the cylindrical tank is 8.57 m.

✦ Try This: A rectangular water tank of base 21 m × 18 m contains water upto a height of 10 m. If the water in the tank is transferred to a cylindrical tank of radius 5 m, find the height of the water level in the tank.

☛ Also Check: NCERT Solutions for Class 10 Maths Chapter 13

NCERT Exemplar Class 10 Maths Exercise 12.4 Problem 2

A rectangular water tank of base 11 m × 6 m contains water upto a height of 5 m. If the water in the tank is transferred to a cylindrical tank of radius 3.5 m, find the height of the water level in the tank

Summary:

A rectangular water tank of base 11 m × 6 m contains water upto a height of 5 m. If the water in the tank is transferred to a cylindrical tank of radius 3.5 m, the height of the water level in the tank is 8.57 m

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