SOLUTION: What is the approximate surface area of the observatory if the radius is 10 ft and its altitude measures 24 ft

Question 157683: What is the approximate surface area of the observatory if the radius is 10 ft and its altitude measures 24 ft
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
I'm assuming the building is a cylinder with a hemisphere roof.
The cylinder surface are is the perimeter of the circle (hemisphere) multiplied by the height of the cylinder.
The height of the cylinder is the total height minus the hemisphere radius.

The surface area of the hemisphere is 1/2 the surface area of a sphere with radius 10 ft.

THe total surface is the sum of these two.

or approximately

1508 sq. ft.
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