Multiple choice

A sphere of radius $4$ cm has the same area as that of a cone with a circular base of radius $4$ cm. The slant height of the cone is

  1. $12$ cm
  2. $16$ cm
  3. $20$ cm
  4. $24$ cm
Reveal answer Fill a bubble to check yourself
B Correct answer
AI explanation

Equating the curved surface area of the cone to the surface area of the sphere gives πrl = 4πR^2. Substituting r = 4 and R = 4 results in π * 4 * l = 4 * π * 16. Solving for the slant height l yields l = 16. The result is 16 cm.

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