the csa of a cylinder is 264m2 and its volume is 924m3. find the ratio 9f its height to its diameter
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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
Required ratio =6:14 or 3:7
ankpandey:
thanks for ur answer
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Hope it helps,plz mark as brainliest...
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