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

      Question

      A solid cylinder has a radius of 3 cm and a height of 10

      cm. If it is melted and recast into a cone with a base radius of 3 cm, what will be the height of the cone?
      A 25 cm Correct Answer Incorrect Answer
      B 30 cm Correct Answer Incorrect Answer
      C 15 cm Correct Answer Incorrect Answer
      D 20 cm Correct Answer Incorrect Answer

      Solution

      Volume of the cylinder = π * r² * h = π * (3²) * 10 = π * 9 * 10 = 90π cm³. Volume of the cone = (1/3) * π * r² * h Let the height of the cone be h: 90π = (1/3) * π * (3²) * h Cancel π: 90 = (1/3) * 9 * h 90 = 3h h = 30 cm. Correct option: b) 30 cm

      Practice Next
      More Quant Miscellaneous Questions
      ask-question