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The perimeter of base of a right circular cone is 44 cm. If the height of the cone is 24 cm, then what is the curved surface area (in cm2) of the cone?
550
1100
2200
650
- The perimeter of the base (a circle) is given as 44 cm, so 2pr = 44 ? r = 44/(2p) = 7 cm.
- The height (h) of the cone is 24 cm.
- The slant height (l) is found using Pythagoras: l = v(r² + h²) = v(7² + 24²) = v(49 + 576) = v625 = 25 cm.
- Curved surface area (CSA) of a cone is prl = p × 7 × 25 = 22/7 × 7 × 25 = 22 × 25 = 550 cm².
Option Analysis:
- Option 1: 550 ( Correct, matches calculation)
- Option 2: 1100 (Double the correct answer)
- Option 3: 2200 (Four times correct answer)
- Option 4: 650 (Incorrect, does not fit the formula)
Correct Option: 1, 550
By: Parvesh Mehta ProfileResourcesReport error
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