Flag 10 grade maths> A well 28.8m deep and of diameter 2m is d...
question mark

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.

Aryan , 8 Years ago
Grade 10
anser 1 Answers
Arun
Dear Aryan
 
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
Arun (askIITians forum expert)
Last Activity: 8 Years ago
star
LIVE ONLINE CLASSES

Prepraring for the competition made easy just by live online class.

tv

Full Live Access

material

Study Material

removal

Live Doubts Solving

assignment

Daily Class Assignments