Multiple choice

A joker’s cap is in the form of a right circular cone of base radius 7 cm and height 24 cm. Find the area of the sheet required to make 10 such caps.

  1. 5100 cm2

  2. 5200 cm2

  3. 5700 cm2

  4. 5500 cm2
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

The sheet required to make a conical cap is its curved surface area (CSA) = πrl, where l is the slant height. First calculate slant height using Pythagoras: l = √(r² + h²) = √(7² + 24²) = √625 = 25 cm. CSA = π × 7 × 25 = 175π cm² per cap. For 10 caps: 10 × 175π = 1750π ≈ 5500 cm². Option D is correct.

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