Question

the sum of Base and height of solid right circular cylinder is 37cm.The total surface area of solid cylinder is 1628 Sq. cm. Find volume of cylinder?

Answer 1

Let r and h be the radius and height ofthe solid cylinder respectively.Given, r + h = 37 cmTotal surface area of the cylinder = 1628 cm2 (Given)∴ 2 πr (r + h) = 1628cm2⇒ 2 πr × 37 cm = 1628 cm2⇒ r = 7 cmr + h = 37 cm∴ 7 cm + h = 37 cm⇒ h = 37 cm – 7 cm =30 cmVolume of the cylinder = π r2h = 4620 cm3Thus, the volume of cylinder is 4620 cm3.