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    Question

    A solid sphere has a radius of 7 cm. A hemisphere is

    removed from the sphere. What is the volume of the remaining part of the sphere?
    A 850 cm³ Correct Answer Incorrect Answer
    B 840 cm³ Correct Answer Incorrect Answer
    C 718.6 cm³ Correct Answer Incorrect Answer
    D 780.33 cm³ Correct Answer Incorrect Answer

    Solution

    The volume of a sphere is given by: Volume of Sphere = (4/3)πr³ The volume of a hemisphere is half of the volume of the sphere: Volume of Hemisphere = (1/2) × (4/3)πr³ = (2/3)πr³ Now, the volume of the remaining part of the sphere is: Volume = Volume of Sphere - Volume of Hemisphere Volume = (4/3)π(7)³ - (2/3)π(7)³ Volume = (4/3)π × 343 - (2/3)π × 343 Volume = (2/3)π × 343 Volume = (2/3) × 22/7 × 343 Volume = 718.67 cm³ Correct Option: c

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