surface.
11. The curved surface area of a cylindrical pillar is 264 m² and its volume is 924 mº.
Find the diameter and the height of the pillar.
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Answered by
4
Answer:
diameter=14m
height=6m
Step-by-step explanation:
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
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