A dome of a building is in the form of a hemisphere. From inside, it was white-washed at the cost of ₹498.96. If the cost of white-washing is ₹2.00 per square meter, find the inside surface area of the dome.

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325.48 m 2

266.48 m 2

249.48 m 2

289.48 m 2

answer is B.

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Detailed Solution

Given,
The cost of white-washing is ₹2.00 per square meter.
The total cost of white-washing is ₹498.96.
So, we can find the inside surface area of the dome as follows,

Inside surface area of the dome = T o t a l cost of whitewash c o s t of white wash per square meter

⇒ 498.96 2

⇒ 249.48 m 2

The inside surface area of the dome is

249.48 m 2

.
Therefore, the correct option is 2.

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