The sum of the radius and height of a cylinder is 19 m. The total surface area of the cylinder is 1672 m2, What is the volume of the cylinder? (in m3)

  • 3080
  • 2940
  • 3220
  • 2660
  • 2800
  • Explanation:

    Let radius of cylinder = r metre

    Height of cylinder = (19-r)m

    Total surface area of cylinder = 2πr (r+h

    1672= 2×22/7×r(r+19-r)

    38×7=r×19

    r=14 m

    ∴ Volume of cylinder = πr2h

    =22/7×(14)2×(19-14)

    =3080 m3

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