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The curved (side) area of a cylinder is found by the formula 2(pi)rh
where r is the radius of the cylinder and h is the length.
What you are doing is to multiply the circumference (pi x 2r) times the height.
Example: area of a roller 6 cm in diameter and 4 cm long
radius r = 3 cm
height h = 4 cm
area = 2 (pi) x 3 x 4 =
2 x 3.14 x 3 x 4 = 75.36 cm2
* To find the total exterior area of the cylinder, you must include the ends.
(see the related question below)
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How do you find the height of a cylinder if the area of the curved surface and the radius is given?
2(pi)(r)(h)=the area of the curved surface
How do you find the surface area of ANY 3D solid?
The surface area of a polyhedron can be calculated by first calculating the area of each of its polygonal surfaces and adding these together.The surface area of some curved solids (sphere, cylinder, cone) can be calculated from formula but for most curved solids are more complicated and require integration.
How do you find the curved surface area of sphere?
Surface area of a sphere = 4*pi*radius2
What formula would find the lateral area of a right cylinder where h is the height and r is the radius?
The curved surface area is 2*pi*r*h square units.
How would you find the surface area of a cylinder with circle bored out of it?
Actually, answer 1 is for the volume, not the surface area. Aside from that, there are lots of ways to bore a hole in a cylinder. If it goes from one base (a flat face) to the other (or part of the way) parallel to the axis, answer 1 is correct (for the volume). If it is not parallel to the axis, or if it is bored from the curved surface of the cylinder, it is much more complicated. Assuming, as in answer 1, that the hole goes all the way from one base to the other parallel to the axis, to get the surface area you would add the surface area of the outer cylinder to that of the hole (just the curved surface portion), and then subtract the areas of the circular holes in the two bases, each of which is pi x the radius of the hole squared. I'm assuming you know how to calculate the surface area of a cylinder. This is the area of the curved surface, which is 2 x pi x the radius x the height, plus 2 x the area of each base, which is pi x the radius squared. ========================================================== Use the formula:- Volume of a cylinder = Pi X Radius squared X Length , to find the volume of a solid cylinder. Repeat the same calculation with the same formula, to find the Volume of the cylinder of fresh air within the cylinder . Subtract the fresh air Volume from the Solid Cylinder Volume. That will be your answer . Think about your problem, then it is dead easy.
