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The dome of a building is in the form of a hemisphere. Its radius is 63 dm. The cost of painting if the rate of Rs. 2 per sq. m. is Rs. ____.

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Detailed Solution

The dome of a building is in the form of a hemisphere. Its radius is 63 dm. The cost of painting if the rate of Rs. 2 per sq. m. is Rs. 498.96.
Given, radius =63 dm.
We know that 1m = 10dm.
So, 63dm =

\frac{63}{10} m

63dm = 6.3m
To find the cost of painting, first we need to find surface area,
Surface area of a hemisphere

= 2 π r 2

= 2 × 227 × 6.3 × 6.3 m 2 = 249.48 m 2

Cost of 1

m 2

=Rs.2
Cost of 249.48

m 2

is,

= 249.48 × 2 = 498.96

.
Therefore, cost of painting is Rs. 498.96.

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