The curved surface area of a cone is 550 cm2. If the area of its base is 154 cm2, then what will be the volume of the cone?
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. 1232 cm3
| Understanding/Application |
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Area of base of cone = πr2 = 154 πr2 = 154 22r2/7 = 154 r2 = 49 r = 7 CSA of cone = πrl = 550 cm2 (22 × 7 × l)/7 = 550 l = 50/2 = 25 cm h2 = (l2 - r2) = (625 - 49) h = √576 = 24 cm |
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Volume of cone = πr2h/3 = (22 × 7 × 7 × 24)/21 = 25872/21 = 1232 cm3 |