Question

the curved surface area of a cylinder pillar is 264msquare and its volume is 924mcube. find the diameter and hieght of the cylinder​

Answer 1

Answer:

Given that:

Curved surface area of cylinder = 264 m²

volume of cylinder = 924 m³

We know that

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

Substituting the value of h = 42/r in the volume equation, 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 =h = 42/r= 42/7 = 6 m