Question

A cylinderical drum of radius 14cm contains water . A solid cuboid having length 14cm , breadth 11cm and height 12cm is dropped in the water .Find the increase in the water level of the drum​

Answer 1

Answer:

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Answer 2

Question:-

A cylindrical drum of radius 14cm contains water. A solid cuboid having length 14cm, breadth 11cm, height 12cm is dropped in the water. Find the increase in the water level of the tank?

Required Answer:-

Given:-

• Radius of the cylindrical drum = 14cm
• Length, breadth and height of the solid cuboid is 14cm, 11cm and 12cm respectively.

To Find:-

• The increase level in the water of the tank.

Solution:-

We know that:-

• Volume of a cylinder = πr²h
• Volume of a cylinder = πr²hVolume of cuboid = LBH

We were given,

• Radius of the cylinder r = 14cm.
• Length of the solid cuboid L = 14cm
• Breadth of the solid cuboid B = 11cm
• Height of the solid cuboid H = 12cm

According to the question:-

Volume of the cylindrical drum = Volume of the solid cuboid

=> πr²h = LBH

=> 3.1416 × (14)² × h = 14 × 11 × 12

=> 3.1416 × 196 × h = 1848

=> h = 1848/(3.1416 × 196)

∴ h = 3.001cm → 3cm

Hence, the increase level in the water of the tank is 3cm

Important Information:-

• Volume of cuboid = L x B x H.

• Volume of cuboid = L x B x H.Volume of cube = a³.

• Volume of cone = 1/3πr²h.

• Volume of cylinder = πr²h.

• Volume of hemisphere = 2/3πr³.

• Volume of sphere = 4/3πr³.