📢 Too many exams? Don’t know which one suits you best? Book Your Free Expert 👉 call Now!

    Question

    A sphere of radius 6 cm is melted and recast into 27

    identical cylinders of radius 2 cm. Find height of each cylinder.
    A 1/3 cm Correct Answer Incorrect Answer
    B 8/5 cm Correct Answer Incorrect Answer
    C 7/3 cm Correct Answer Incorrect Answer
    D 8/3 cm Correct Answer Incorrect Answer

    Solution

    ATQ, Volume sphere = (4/3)π(6³) = (4/3)π×216 = 288π Volume of 1 cylinder = πr²h = π×4×h = 4πh 27 cylinders volume = 27×4πh = 108πh 108πh = 288π => h = 288/108 = 8/3 cm

    Practice Next
    More Mensuration Questions

    Relevant for Exams:

    ask-question