Question

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

Answer 1

Step-by-step explanation:

Volume of soil dug out =  π(1)² (28.8) m³

Volume of soil that should be settled on the platform is

5 π* 28.8/6 m³

Let the width of platform be r cm.

π(1+r)² - (1)² (1) = 5π*28.8/6

(1+r)² -1 = 24

(1+r)² = 25

1+r = 5

r = 4 cm

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