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

Arun
25757 Points
4 years ago

Volume of soil dug out = $\pi$ (1)² (28.8) m³
Volume 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 = 25
1+r = 5
Hence
r = 4 cm

Regards