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    Question

    The volume of a cone is 128π cubic centimeters. If the

    radius of the base is 4 cm, find the height of the cone.
    A 8 cm Correct Answer Incorrect Answer
    B 10 cm Correct Answer Incorrect Answer
    C 16 cm Correct Answer Incorrect Answer
    D 24 cm Correct Answer Incorrect Answer

    Solution

    The volume V of a cone is given by the formula: V = (1/3)πr²h where r is the radius of the base and h is the height. We are given that V = 128π and r = 4 cm. Substitute the values into the formula: 128π = (1/3)π(4)²h  128π = (1/3)π × 16 × h  128 = (16h)/3. Multiply both sides by 3: 384 = 16h → h = 384/16 = 24 cm. Correct answer: d. 24 cm

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