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Answer:
The cost of painting the hemispherical dome is 110880 unit
Step-by-step explanation:
Given as for a hemispherical dome :
The circumference of base = 17.6 m
The cost of painting it = 5 unit per 100 cm²
∵ circumference of base = circumference of circle = 2××radius
So ,17.6 m = 2××radius
Or, Radius =
Or, Radius = = 2.8 m
Or, R = 280 cm
So, Total surface area of hemispherical dome = 3××radius²
or, Total surface area of hemispherical dome = 3××280²
Or, Total surface area of hemispherical dome =
Or, Total surface area of hemispherical dome =
∴ Total surface area of hemispherical dome = 739200 cm²
Now, The cost of painting 100 cm² is 15 unit
So, The cost of painting 739200 cm² =
Or, The cost of painting 739200 cm² = 110880 unit
Hence The cost of painting the hemispherical dome is 110880 unit Answer