A hemispherical dome of a mosque in Al Ain needs to be painted. If the circumference of
the base of the dome is 17.6 m , find the cost of painting it, given the cost of painting is
Dh50 per sq.m.
Answers
Calculation of the curved surface area of a hemisphere
The total cost of painting the hemispherical dome of the mosque in Al Ain is Dh 2464
Step-by-step explanation:
Let r be the radius of the dome
Given:
The circumference of the base of the dome = 17.6m = 2πr
17.6 = 2 x 22/7 x r
17.6 x 7 / 44 = r
2.8 m = r
The radius of the dome is 2.8 m
We need to determine the outer surface area of the hemispherical dome which needs to be painted.
The curved surface area of the hemisphere= 2 πr2
= 2 x 22/7 x 2.8 x2.8
= 49.28 m2
The curved surface area of the dome is 49.28 sq. m
The cost of painting the dome = Dh50 per m2
Thus, the cost of painting the hemispherical dome = 50 x 49.28
= Dh 2464
The total cost of painting the hemispherical dome of the mosque in Al Ain is Dh 2464
Answer:
total cost of painting is 2464 DH
Step-by-step explanation:
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