SSC CPO SI and ASI Model Paper 8

Question : 147 of 200

Marks: +1, -0

If radius of a right circular cylinder is reduced to its one-third, then by what percentage should the height be increased in order to keep the volume same?

800%
12.5%
25%
300%

Validate

Solution:

(1) Let the initial radius and heightof the cylinder be ri and hi, respectively.
Final radius is i

r/3

. Let the final height be

h_f

.
Now,

πr^2h_1=π{ r^2}/9h_f⇒h_f=9h

So, percent increase in height

{h_i- h_i}/{h_i}×100 = {9h _i-h}/{h_i}×100= 800%

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