Question

the curved surface area of a cylinder is 4,400cm2​ and circumference of its base is 220cm. Find the volume of the cylinder.

Answer 1

given,
circumference=220cm
2πr=220.................................(1)
2×22/7×r=220
r=220×7/22×2
r=35cm
CSA=4400cm²
2πrh=4400
220×h=4400................(from (1))
h=4400/220
h=20cm
volume=πr²h
=22/7 × 35×20
=22×35×20/7
=22×5×20
=2200cm³

Answer 2

C.S.A. of cylinder = 4400 cm^2
Circumference of base = 220 cm
So, 2πr = 220
      2 × 22/7 × r² = 220
      r = 220×7 / 2×22
      r = 1540 / 44
      r = 35 cm

SO, WE HAVE FIND THE RADIUS OF THE CYLINDER BY USING THE THE FORMULA OF CIRCUMFERENCE, WHICH IS = 35 cm.

so, C.S.A. =4400 cm² 
      2πrh = 4400
      2 × 22/7 × 35 × h = 4400
      h = 4400×7 / 2×22×35
      h = 20 cm

SO, WE HAVE ALSO FIND THE HEIGHT OF CYLINDER BY USING THE FORMULA OF CURVED SURFACE AREA OF CYLINDER = 20 cm.

So, Volume of cylinder = πr²h 
                                     = 22/7 × 35 × 35 × 20
                                     = 77000 cm³

SO, THE ANSWER TO THIS QUESTION IS 
       VOLUME OF CYLINDER IS 77000 cm³.

I HOPE THIS WAS HELPFUL TO YOU...................................

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