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


    Question

    A solid hemisphere of radius 6 cm is melted and recast

    into small solid right circular cones each of radius 3 cm and height 8 cm. How many cones are formed?
    A 6 Correct Answer Incorrect Answer
    B 12 Correct Answer Incorrect Answer
    D 9 Correct Answer Incorrect Answer

    Solution

    Volume of hemisphere = (2/3)πr³ = (2/3)π × 6³ = (2/3)π × 216 = 144π Volume of one cone: V = (1/3)πr²h = (1/3)π × 3² × 8 = (1/3)π × 9 × 8 = 24π Number of cones = 144π / 24π = 6.

    Practice Next
    ask-question