Q11 of 45 Page 11

The ratio between the curved surface area and the total surface area of a right circular cylinder is 1: 2. Find the volume of the cylinder, if its total surface area is 616 cm2.

Given: CSA of cylinder: TSA of cylinder = 1:2


TSA of = 616 cm2


To find: Volume of cylinder


Formula Used:


CSA of cylinder = 2πrh


TSA of cylinder = 2πr (h + r)


Explanation:


Total surface area of cylinder = 616 cm2


Ratio between curved surface area and total surface area of cylinder = 1: 2




⇒ 2h = h + r


⇒ h = r


⇒ 2πr (h + r) = 616


⇒ 2πr × 2r = 616



⇒


Radius = 7 cm = height


∴ Volume of cylinder =


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