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  1. 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
    1. 7 cm
    2. 3.5 cm
    3. 9 cm
    4. 11 cm
Correct Option: A

Area of the curved surface =
1
× 462 = 154 sq.cm.
3

∴ 2πrh + 2πr² = 462
⇒ 154 + 2πr² = 462
⇒ 2πr² = 462 – 154 = 308
⇒ r² =
308
=
308 × 7
= 49
2 × 22

⇒ r = √49 = 7 cm



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