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A solid cylinder has total surface area of 462 sq.cm. Its curved
surface area is 1/3rd of the total surface area. Then the radius of the cylinder is
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- 7 cm
- 3.5 cm
- 9 cm
- 11 cm
- 7 cm
Correct Option: A
Area of the curved surface = | × 462 = 154 sq.cm. | |
3 |
∴ 2πrh + 2πr² = 462
⇒ 154 + 2πr² = 462
⇒ 2πr² = 462 – 154 = 308
⇒ r² = | = | = 49 | ||
2π | 2 × 22 |
⇒ r = √49 = 7 cm