A well 28.8 m deep and of diameter 2 m is dug up.

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asked Mar 15 in Class X Maths by aditya23 (-605 points)

A well 28.8 m deep and of diameter  2 m is dug up. The soil dug out is spread all around the well to make a platform 1 m high considering the fact losse soil settled to a height in the ratio 6 : 5. Find the width of the platform.

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answered Mar 15 by navnit40 (-2,750 points)

Volume of soil dug out  =  π(1)2 (28.8) cu m.

∴  Volume of soil that would be settled on the platform is

(5 × π × 28.8)/6 cu m.

Let the width of the platform be r cm. Then,

Π(1 + r2) – (1)2 (1) = (5 × π × 28.8)/6

⇒ (1+ r)2 – 1 = (5 × 28.8)/6 = 24

⇒ (1 + r)2   = 25

⇒  1 + 4 = 5

⇒ r = 4 cm.

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