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    Question

    The outer radius of a spherical shell is 8 cm, and the

    thickness of the shell is 2 cm. Find the volume of the metal used for the shell (in cubic cm). (Use π = 22/7)
    A 720.19 Correct Answer Incorrect Answer
    B 718.19 Correct Answer Incorrect Answer
    C 812.19 Correct Answer Incorrect Answer
    D 708.19 Correct Answer Incorrect Answer

    Solution

    Hence, the radius of the inner part = 8-1 = 7 cm The volume of the metal used for the shell should equal the difference between the volume of the outer and inner parts. Thus, the volume of the metal used for the shell =4/3 π (83 – 73) = 4/3 ×22/7×169 =14872/21 cm³ =708.19 cm3 The volume of the metal used for the shell is 708.19 cm³

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