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


3 years ago

Arun
25768 Points
							Dear Aryan Volume of soil dug out = $\pi$ (1)² (28.8) m³Volume of soil that should be settled on the platform is 5$\pi$ * 28.8/6 m³ Let the width of platform be r cm.$\pi$(1+r)² - (1)² (1) = 5$\pi$*28.8/6(1+r)² -1 = 24(1+r)² = 251+r = 5Hencer = 4 cm RegardsArun (askIITians forum expert)

3 years ago
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