A hemispherical dome of a building needs to be painted. If the Circumference of the base of the dome is 17.6cm, then find the cost of painting it, given that cost of painting is ₹5per 100 cm²
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Answer:
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Given :
Since only the rounded surface of the dome is to be painted we need to find the curved surface area of the hemisphere to know the extent of painting that needs to be done.
Solotion:
Now, circumference of base of the dome = 17.6 m Therefore 17.6 = 2πr
So, The radius of the done
= 2.8 m
The curved surface area of the dome =2πr²
=49.28m²
Now, cost of painting 100 cm²
is Rs. 5
So, cost of painting 1 m²
= Rs. 500
Therefore, cost of painting the whole dome
=Rs.500×49.28
=Rs.24640
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