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pradosh

· started a discussion

· 1 Months ago

detail solution (Question: 190644.0 )

sir i could not understand plz explain in detail....

Question:
A well of radius 5 m and 14 m deep is dug  and the earth taken out is spread around it  and thus a platform of breadth 5 m is formed. What will be approximate height of the platform ?
Options:
A) 2.3 m 
B) 4.7 m
C) 5.6 m 
D) 11.2 m 
Solution:
Ans: (b)


Knowledge Expert

· commented

· 1 Months ago

Dear Student,

please read question carefully here a well is consider a cylinder and we apply the volume of cylinder's formula.
Given radius of the well = 5 m
Height of the well = 14 m
Width of the platform = 5 m
Therefore radius of the platform = 5 + 5 = 10 m
Let h be the height of the platform
Hence the volume of the platform = volume of the well
That is π(R – r)2h = πr2h
(102 – 52) x h = 52 x 14
(100 – 25) x h = 25 x 14
h = (25 x 14)/75 = 14/3
Therefore, h = 4.66 cm = 4.7 (nearly)

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