The 4' x 4' figure has an area of 4' x 4' = 16 square feet. The area of a circle is pi times the square of the radius. If a circle has an area of 16 square feet, then pi x r2 = 16 ft2. We'll take the 16, divide it by pi and the answer will be the square of the radius. And 16/pi = about 5.093 square feet and the square root of that is about 2.257 feet. The radius of a circle with an area of 16 ft2 is about 2.257 feet. The diameter of a circle is twice its radius, and in this case, 2.257 feet x 2 will have be the circle with a diameter = 4.514 feet.
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The square part area is 4 x 4 = 16 sq ft The circular parts are equivalent to a circle with diameter 4 feet whose area is pi x diameter squared/4 = 3.14x16/4 = 12.56 sq ft Area = 16 +12.56 = 28.56 sq ft
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Division by 6.
Diameter = 11.4 ft so radius = 5.7 ft Then, vol = 4/3*pi*r3 = 775.7 cubic feet, approx.
It is 12.6 ft, approx.