Q. 103.7( 6 Votes )

A 16 m deep well with diameter 3.5 m is dug up and the earth from it is spread evenly to form a platform 27.5 m by 7 m. Find the height of the platform.

Answer :

Let us assume shape of well is like a solid right circular cylinder

Radius of cylinder, r = 3.5/2 = 1.75m

Depth of well, h = 16m

Volume of right circular cylinder, V’ = π r2 h


Given that, length of platform, l = 27.5 cm

Breadth of the platform, b = 7cm

Let height of the platform be x m

Volume of the rectangle, V’’ = lbh

= 27.5 × 7 × x

= 192.5x -----------(II)

Since well is spread evenly to form the platform, so volume V’ = V’’

x = 0.8m

Height of the platform = 80cm

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