Question
Download Solution PDFFind the cost of painting a ball that is in the shape of a sphere with a radius of 14 cm. The painting cost of the ball is Rs. 5 per square centimetre (take π =22/7).
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Radius of the sphere (r) = 14 cm
Painting cost per square centimetre = Rs. 5
Formula Used:
Surface area of a sphere = 4πr2
Total cost = Surface area × Painting cost per square centimetre
Calculation:
Surface area of the sphere = 4πr2
⇒ Surface area = 4 × (22/7) × 142
⇒ Surface area = 4 × (22/7) × 196
⇒ Surface area = 4 × 22 × 28
⇒ Surface area = 2464 cm2
Total cost = Surface area × Painting cost per square centimetre
⇒ Total cost = 2464 × 5
⇒ Total cost = Rs. 12,320
The cost of painting the ball is Rs. 12,320.
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