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The csa of cylindrical pillar is 264m2 and volume 924m3 find height

Posted by Payal Choudhary 5 years, 10 months ago

CBSE > Class 09 > Mathematics

1 answers

Yogita Ingle 5 years, 10 months ago

Given : 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

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CBSE > Class 09 > Mathematics