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