Question
Download Solution PDFThe outer surface of a sphere having diameter 10 m is painted at the rate of Rs. 80/π per m2. What is the cost of painting?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Diameter of the sphere = 10 m
Rate of painting = ₹(80/π) per m2
Formula Used:
Surface Area of Sphere = 4πr2
Cost of painting = Surface Area × Rate per m2
Calculation:
Radius (r) = Diameter / 2
r = 10 / 2
r = 5 m
Surface Area of Sphere = 4π(5)2
Surface Area = 4π(25)
Surface Area = 100π m2
Cost of painting = Surface Area × Rate per m2
Cost = 100π × (80/π)
Cost = 100 × 80
Cost = 8000
The cost of painting is ₹8,000.
Last updated on May 28, 2025
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