Question

A cylindrical bucket, 28cm in diameter and 72cm high, is full of water. The water is emptied into a rectangular tank, 66cm long and 28cm wide. Find the height of the water level in the tank.

Answer 1

It is given that

Diameter of the bucket = 28cm

Radius = 28/2 = 14cm

Height of the bucket = 72cm

Length of the tank = 66cm

Breadth of tank = 28 cm

We know that

Volume of tank = volume of cylindrical bucket

l × b × h = πr²h

By substituting the values

66 × 28 × h = (22/7) × (14)² × 72

On further calculation

h = (22 × 2 × 14 × 72)/ (66 × 28)

So we get

h = 24 cm

Therefore, the height of the water level in the tank is 24 cm.