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    Question

    A cylindrical bucket of height 150 cm and radius 50 cm

    is full of water. A person wants to fill spherical balloons of radius 5 cm each with the water in the bucket. How many balloons can he fill with the water present in the bucket?
    A 2250 Correct Answer Incorrect Answer
    B 1753 Correct Answer Incorrect Answer
    C 1456 Correct Answer Incorrect Answer
    D 1832 Correct Answer Incorrect Answer

    Solution

    Let no number of spherical balloons be required. According to the question, π × 502 × 150 = (4/3) × π x 53 x n   2500 × 150 = (4/3) x 125n 20 x 150 = (4/3) n 3000 = (4/3) n n = (3/4) x 3000   n = 2250 So, a total of 2250 balloons are required.

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