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    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 = ╧А * r┬▓ * h = ╧А * (3┬▓) * 10 = ╧А * 9 * 10 = 90╧А cm┬│. Volume of the cone = (1/3) * ╧А * r┬▓ * h Let the height of the cone be h: 90╧А = (1/3) * ╧А * (3┬▓) * h Cancel ╧А: 90 = (1/3) * 9 * h 90 = 3h h = 30 cm. Correct option: b) 30 cm

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