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Question
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.
Solution
Volume of Soil drug out = π (1)2 (28.8) cu m.
∴ Volume of soil that would be settled on the platform is `( 5 xx π xx 28.8)/6` cu. m.
Let the width of the platform be r cm. Then,
π(1 + r2) - (1)2 (1) = `(5 xx π xx 28.8)/6`
⇒ (1 + r)2 - 1 = `(5 xx 28.8)/6` = 24
⇒ (1 + r)2 = 25
⇒ 1 + r = 5
⇒ r = 5 - 1
⇒ r = 4 cm.
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