Multiple choice

What is the slant height of a cone if its radius is 13 cm and volume is cube of its radius?

  1. 15.45 cm

  2. 19 cm

  3. 17.98 cm

  4. 20 cm

  5. 22.2 cm

Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Radius r = 13. Volume V = r^3 = 13^3 = 2197. V = (1/3) * pi * r^2 * h. 2197 = (1/3) * pi * 169 * h. h = (2197 * 3) / (169 * pi) = 39 / pi approx 12.41. Slant height l = sqrt(r^2 + h^2) = sqrt(169 + 154.0) = sqrt(323) approx 17.97.