Question

The curved surface area of a cylindrical pillar is 264m^2 and it's volume is 924m^3. Find the diameter and height of the pillar.

Answer 1

Solution:-
Given : Curved Surface Area (CSA)
of cylinder = 264 m²
and volume of cylinder = 924 m³
CSA of cylinder = 2πrh
264 = 2*22/7*r*h
r*h = (264*7)/44
r*h = 1848/44
r*h = 42
h = 42/r ......(1)
Now,
volume of cylinder = πr²h
Putting the value of h = 42/r in the below, we get
924 = 22/7*r²*42/r
924r = 924*7
r = 7 m
So, Radius is 7 m and the diameter will be 7*2 = 14 m.
And the height of the cylinder = 42/7 = 6 m