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The volume of a right circular cone is 12936 cubic cm and its height is 28 cm. What is its curved surface area, in square cm? (Use π = 22/7.)

Competition practiceMensuration
  • A1848
  • B3696
  • C2310
  • D4620

Step-by-Step Solution

(1/3)π gives (1/3) 28 = 12936, so and cm. The slant height is = √ √1225 = 35 cm, so the curved surface = π sq cm. The trap 1848 uses the height 28 cm in place of the slant height 35 cm; 3696 adds the base π sq cm, giving the TOTAL surface rather than the curved one; 4620 uses 2π, a cylinder's formula.
Answer: C) 2310

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