A well of height 20 m and diameter 7 m is dug out. The sand extracted is used to make a platform of length 14 m, breadth 22 m and height ‘H’. What is the value of ‘H’.

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Solution

Solution:

A figure is drawn below to visualize the shapes according to the given question.

Volume of sand dug out from the well = Volume of sand used to make the platform

Hence, Volume of the cylindrical well = Volume of the cuboidal platform.

Depth of the cylindrical well, h = 20 m

Radius of the cylindrical well, r = 7/2 m

Length of the cuboidal platform, l = 22 m

Breadth of the cuboidal platform, b = 14 m

Let the height of the cuboidal platform = H

Therefore, the height of the platform will be 2.5 m.

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