The outer surface of a sphere having a diameter 10 m is painted at the rate of Rs. per m2 . What is the cost of painting?
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e. Rs. 8000.
Given that
The diameter of the sphere = 10 m
The radius of the sphere = r = 5 m
Rate of painting = per m2
Formula used
The surface area of a sphere = 4 × π × r2
Hence, the surface area of the sphere = 4 × π × 52 = 100 × pi m2
The total cost of painting the sphere = 100 × π × = 8000
Hence, the total cost of painting the sphere is Rs. 8000.