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A dome of a building is in the form of a hemisphere. From inside, it was whitewashed, at the cost of Rs. 498.96. If the cost of whitewashing is Rs. 2.00 per square meter, find the inside surface area of the dome and the volume of the air inside the dome.

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,249.48 m2

,250.48 m2

, 259.48 m2

None of these

answer is A.

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Detailed Solution

Concept- First, we will find them inside the surface of an area of the dome then next we will find the volume of the air inside of the dome. We will use the formula of radius and volume and we will get the answer.
(i)We know that Area whitewashed

Cost of whitewash = total cost
Area whitewashed

Area whitewashed

Therefore, inside the surface area of the dome

(ii)Volume of air inside dome=volume of the hemisphere

Let the radius of the dome be r m
The surface area of dome =

The volume of air inside the dome= volume of a hemisphere Question Image

Hence, the correct option is 1.

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