# The cost of painting the surface of sphere is Rs. 1526 at the rate of Rs. 6 per m2. Find the radius of sphere.

Given.

Cost of painting the surface of sphere is Rs. 1526

Rate of Rs. 6 per m2

Formula used/Theory.

TSA of sphere = 4πr2

Let radius of sphere is r

Then area of sphere is 4πr2 m2

Rate of painting = Rs. 6 per m2

Cost of painting of sphere =

4πr2 m2 × Rs. 6 per m2

Rs. 24πr2

Rs. 24πr2 = Rs. 1526

24 × × r2 = 1526

r2 = = 20.23

r = √20.23 = 4.49 m

= 4.5 m

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