Question : The dome of a residential tower is in the form of a hemisphere with a radius of 560 cm. Find the cost of painting it at the rate of Rs. 25 per m2. (Take $\pi=\frac{22}{7}$)
Option 1: Rs. 4928
Option 2: Rs. 4982
Option 3: Rs. 4298
Option 4: Rs. 4289
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Correct Answer: Rs. 4928
Solution :
Radius of dome (hemispherical) = 560 cm = 5.6 m
$\therefore$ Area of curved surface $= 2\pi r^{2} = 2\times \frac{22}{7} \times 5.6\times 5.6$ m$^{2} = 197.12 $ m$^{2}$
Rate of painting = Rs. 25 per sq.m
So, the total cost = 197.12 × 25 = Rs. 4928
Hence, the correct answer is Rs. 4928.
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