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Rajesh is playing with a football having diameter of 28 cm. He wants to get a photo of his favourite player painted on the entire ball. The painter ch
Question

Rajesh is playing with a football having diameter of 28 cm. He wants to get a photo of his favourite player painted on the entire ball. The painter charges Rs. 2/cm². What will be the cost (in Rs. ) of painting the ball (take π = 22/7)?

A.

4,928

B.

4,828

C.

2,414

D.

2,464

Correct option is A

Given:
Diameter of football =28cm.
Cost of painting = Rs 2 /cm2cm^2​​
Formula Used:
Surface Area of Sphere = 4πr24πr^2​​
Total Cost = Price x Area
Solution:
Surface to be painted = 4×227×142=4×22×2×14=2464cm24 \times \frac{22}{7}\times 14^2 = 4 \times 22 \times 2 \times14 = 2464 cm^2​​
Total Cost = 2 ×\times​ 2464 = Rs 4928

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