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The radius of base and slant height of a cone are in the ratio 4 : 7. If its curved surface area is 792 cm², then the radius (in cm) of its base is [Use π = 22/7]
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- 8
- 12
- 14
- 16
- 8
Correct Option: B
Let radius = 4x cm and slant height (l) = 7x cm
∴ πrl = | × 4x × 7x = 792 | |
12 |
⇒ x² = | = 9 | |
22 × 4 × 7 |
∴ x = 3
∴ Radius = 4 × 3 = 12 cm