1.

a rectangular vessel of dimensions 20cm by 15cm by 11cm is full of water. if the water is poured into an empty cylindrical vessel of radius 10cm find find height of the cylindrical vessel​

Answer»

Answer :

  • The height of the cylindrical vessel is 10.5cm

Given :

  • length is 20cm
  • BREADTH is 15cm
  • height is 11cm

To FIND :

  • Height of the cylindrical vessel

Solution :

FIRST of all Now we need to find the volume of rectangular vessel

  • volume of rectangular vessel (CUBOID) = length × breadth × height

● 20 × 15 × 11

● 3300cm³

Volume of WATER in cylindrical vessel is 3300cm³

Now we have to find the volume of cylindrical:

As we know that

  • volume of cylindrical = πr²h

● 22/7 × 10 × 10 × h = 3300cm³

● 2200/7 × h = 3300cm³

● h = 3300/1 × 7/2200

● h = 1.5 × 7

● h = 10.5 cm

Hence , The height of the cylindrical vessel is 10.5cm



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