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    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)╧Аr┬│ = (2/3)╧А ├Ч 6┬│ = (2/3)╧А ├Ч 216 = 144╧А Volume of one cone: V = (1/3)╧Аr┬▓h = (1/3)╧А ├Ч 3┬▓ ├Ч 8 = (1/3)╧А ├Ч 9 ├Ч 8 = 24╧А Number of cones = 144╧А / 24╧А = 6.

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