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Given a solid cylinder of radius 10 cm a...

Given a solid cylinder of radius `10` cm and length `1000` cm a cylinder hold is made into it to obtain a cylindrical shell of uniform thickness and having a volume equal to one-fourth of original volume. The thickness of the cylindrical shell is:
a.    `sqrt(5)-2` cm
b.    `5sqrt(5)` cm
c.    `4(sqrt(5)-2)` cm
d.    `5(2-sqrt(3)` cm

A

`(sqrt(5) - 2) cm`

B

`5sqrt(5) cm`

C

`4(sqrt(5) - 2) cm`

D

`5(sqrt(5) - 2) cm`

Text Solution

Verified by Experts

The correct Answer is:
D
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