Multiple choice

A rectangular sheet of dimensions $1.57$ m $\times 4.16$ m was brought to form an ice-cream cone of radius $2.5$ cm and height $6 $ cm. Then find out how many ice-cream cones can be prepared from that ?

  1. $320$
  2. $1280$
  3. $640$
  4. $512$
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Area of sheet = 1.57 * 4.16 = 6.5312 m^2 = 65312 cm^2. Surface area of cone (lateral) = pi * r * l. l = sqrt(r^2 + h^2) = sqrt(2.5^2 + 6^2) = sqrt(6.25 + 36) = 6.5. Area = 3.14 * 2.5 * 6.5 = 51.025 cm^2. Number of cones = 65312 / 51.025 = 1280.

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