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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 |
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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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