The curved surface area of a cylinder is 264

Asked by admin @ in Math viewed by 324 People

the curved surface area of a cylinder is 264 m square and its volume is 924 m cube .the ratio of its diameter to its height is.......... please answer fast its urgent.

Answered by admin @


Solution:-
Curved Surface Area of the cylinder = 2πrh
264 = 2*22/7*r*h
rh = (264*7)/(22*2)
rh = 42
h = 42/r ...........(1)
Volume of the cylinder = πr²h
924 = 22/7*r²*42/r
r = (924*7)/(22*42)
r = 7 m 
So, the diameter of the cylinder is 14 m
Now, substituting the value of h = 42/r
h = 42/7
h = 6 m
So, the height of the cylinder is 6 m
The ratio of the diameter of the cylinder to its height = 14 :6
= 7 :3
Answer.

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