1.

The curved surface area and the total surface area of a cylinder are in the ratio 1 : 2. If the total surface area of the right cylinder is 616 cm2, then its volume is :1). 1232 cm32). 1848 cm33). 1632 cm34). 1078 cm3

Answer»

Let the height of the cylinder be ‘h’ cm

Let the radius of the cross section be ‘r’ cm

the total SURFACE area of cylinder = 616 cm2

Since, the curved surface area and the total surface area of a cylinder are in the ratio 1 : 2

The surface area of the FLAT SURFACES= 2πr2 = (616/2) cm2

⇒ r2 = (154/π)

⇒ r = 7 cm

The curved surface area = 2πrh = 616/2 = 308 cm2

⇒ h = 308/(2πr)

⇒ h = 7 cm

Hence, Its VOLUME is = πr2 h = 3.14 × 72 × 7 = 1078 cm3.


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