You are designing a dome house in the shape of a hemisphere with a 35 ft outside diameter. How many square feet of "stucco" should be listed on the bill of materials as needed to cover this home if 15% of it is windows and doors? A) 1,640 ft ² B) 1,620 ft ² C) 1,670 ft ² D) 1,650 ft ² E) 3,270 ft ²

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Quizplus · Accepted Answer

The surface area of a hemisphere is given by 2πr², where r is the radius. The radius of the hemisphere is half of the diameter, so r = 35/2 = 17.5 ft. The surface area is then 2π(17.5)² = 1885 ft². Since 15% of the surface area is windows and doors, the amount of stucco needed is 1885 - 0.15(1885) = 1602.25 ft².

You Are Designing a Dome House in the Shape of a Hemisphere