Multiple choice

The radius and height of an ice cream cone are in the ratio $4:3$ and area of its base is $154\ cm^{2}$.Find its curved surface area.

  1. $192.5\ cm^{3}$
  2. $150\ cm^{3}$
  3. $176.3\ cm^{3}$
  4. $115.36\ cm^{3}$
  5. $None\ of\ these$
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let the radius and height be 4k and 3k. Since pi(4k)^2 = 154, using pi = 22/7 gives the radius as 7 cm and the height as 21/4 cm. The slant height is 35/4 cm, so the curved surface area is pi × 7 × 35/4 = 192.5 cm^2. The numerical option is correct, but its unit should be cm^2 rather than cm^3.

Keep practicing — related questions