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    The radius of a giant metal spherical ball is 12cm. Its outer surface is required to be painted. What will be the cost of painting at the rate of&nbsp
    Question

    The radius of a giant metal spherical ball is 12cm. Its outer surface is required to be painted. What will be the cost of painting at the rate of  ₹7 per cm2cm^2​ (Approximate to the nearest integer)(Take π=227\pi = \frac{22}{7}​)

    A.

    ₹12,672

    B.

    ₹11,664

    C.

    ₹10,684

    D.

    ₹13,168

    Correct option is A

    Given:

    Radius of giant spherical ball  = 12cm

    Cost of painting percm2 cm^{2}= ₹7

    Formula Used:

    Surface area of sphere = 4πr24 \pi r^{2}​​

    Solution:

    Radius of  sphere = 12cm

    Surface area of sphere = 4π(12)24 \pi (12)^{2}​​

    =4×227×144= 4\times \frac{22}{7}\times 144​​

    =126727cm2=\frac{12672}{7}cm^{2}​​

    Cost of painting = 126727×7=12672\frac{12672}{7}\times7 = ₹12672​​

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