Math, asked by sultanmohammed, 11 months ago

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

Answered by aakankshavatsal
0

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

Answered by devip649110
9

Answer:

total cost of painting is 2464 DH

Step-by-step explanation:

HOPE IT WILL HELP YOU

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