SOLUTION: Please help me understand and complete this problem. Thanks so very much. Here is the problem: An architect is designing a half-spherical dome above a circular fountain and pat

Question 142533This question is from textbook Prentice Hall Mathmatics Pre-Algrebra
: Please help me understand and complete this problem. Thanks so very much. Here is the problem:
An architect is designing a half-spherical dome above a circular fountain and path. The architect wants the dome to be only over the fountain and path. The total diameter of the fountain with surrounding path is 45 feet. What is the height of the cover and what is the surface area of the cover?
Tbanks again in advance This question is from textbook Prentice Hall Mathmatics Pre-Algrebra

Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
An architect is designing a half-spherical dome above a circular fountain and path. The architect wants the dome to be only over the fountain and path. The total diameter of the fountain with surrounding path is 45 feet. What is the height of the cover and what is the surface area of the cover?
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If I understand this, it's a half-dome with a diameter of 45 feet.
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The height would be the radius of the dome, 22.5 feet.
The area of a sphere is , so this would be 1/2 of that.
Area = 3180.86 sq ft.
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