Each of three revolving doors has a perimeter of 6.60 m and revolves through a volume of 9.50 m^3 in one revolution about their common vertical side. what are the door's dimensions
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A door is a rectangle with width = W meters and height = H meters.
I assume that the door can rotate/revolve completely in circle - 360 degrees.
perimeter = 2 π W as width is the radius of circle in which it revolves
So W = 6.60 / 2 π = 1.05 meter
Volume covered in revolution is = area of circle of revolution * H = (π W²) H
So H = 9.50 / π 1.05³ = 2.61 meters
I assume that the door can rotate/revolve completely in circle - 360 degrees.
perimeter = 2 π W as width is the radius of circle in which it revolves
So W = 6.60 / 2 π = 1.05 meter
Volume covered in revolution is = area of circle of revolution * H = (π W²) H
So H = 9.50 / π 1.05³ = 2.61 meters
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