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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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