📢 Too many exams? Don’t know which one suits you best? Book Your Free Expert 👉 call Now!
  • google app store apple app store
    • ✖

      Question

      The radius of a cone is 7 cm, and its height is 24 cm. A

      sphere is inscribed in the cone, touching the base and the curved surface. Find the radius of the sphere.
      A 5 cm Correct Answer Incorrect Answer
      B 6.72 cm Correct Answer Incorrect Answer
      C 7.55 cm Correct Answer Incorrect Answer
      D 8 cm Correct Answer Incorrect Answer

      Solution

      For an inscribed sphere in a cone, the radius of the sphere r is given by the formula: r = (r × h) / √(r² + h²), where r is the radius of the cone’s base, and h is its height. Substituting the values: r = (7 × 24) / √(7² + 24²) = 168 / √(49 + 576) = 168 / 25 = 6.72 cm.

      Practice Next
      More Mensuration Questions
      ask-question