If a cylinder's height is 7cm and its area is 659.73cm2, its diameter will be approximately 14.66cm
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The surface area of a cylinder can be derived from the area of rectangle. If you 'unroll' a cylinder you have a shape of a rectangle, similar to a sheet of paper. The width of the rectangle will be the height of the cylinder and the length of the rectangle will be the circumference of the cylinder end.So, Area = length * widthwhere, width = height of cylinder & length = circumference of cylinder end = PI*(Diameter of cylinder)Therefore,surface area of a cylinder = (PI)*(diameter of cylinder)*(height of cylinder)Hope that helps!
The surface area of this cylinder is 2,111.15 square feet.
In order to find its height, we must know either the volume or the surface area of the cylinder.
The curved surface area is 75.4cm2
The surface area of a cylinder = height * 2 * pi * radius So, since we know the surface area, and the height, we can rearrange the equation: radius = Surface Area / (height * 2 * pi) = 88/(14 * 2 * pi) = 22/ (7*pi) = approx 1 cm. So the diameter, is 44/ (7*pi) = approx 2 cm.