The sum of the height and radius of the base of a solid cylinder is 37 m. If the total surface area of the cylinder be find its volume.

Given,


Total surface area of cylinder = 1628 m2


Sum of height and radius = (h + r) = 37 m


2πr (h + r) = 1628


2πr × 37 = 1628


⇒ r =


∵ r + h = 37


⇒ h = 37 – 7 = 30 m


∴ Volume of cylinder = πr2h = × 7 × 7 × 30 = 4620 m3


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