0
first you have to ask yourself two questions:
1) what is the area of a circle?
2) what is the circumference of a circle?
Area(circle) = pi*r^2
circumference(circle) = 2*pi*r
secondly you realize that the surface area of a cylinder is the summation of the surface area of the top, bottom, and side.
first let's focus on the area of the top and bottom, these are both circles with the same radius and therefore the same area.
so the top and bottom have a combined area of 2*pi*r^2.
next we focus on the area of the side. to do this you must realize that the side of a cylinder is basically a rectangle that has been bent.
the length of this rectangle is given by the circumference of the circle
making the area simply
Area(rectangle) = length*height = 2*pi*r*h
all together this gives a surface area of
Area(cylinder) = 2*pi*r^2 + 2*pi*r*h = 2*pi*(r^2+h)
given that the radius r = 1
Area = 2*pi*(h+1)
Still curious? Ask our experts.
Chat with our AI personalities
Rene
Fran
BlakeAdd your answer:
Earn +20 pts
How do you get the formula of an open cylinder from the surface area of a cylinder?
The question does not specify what the required formula is for: the volume of an open cylinder, height, radius, surface area, etc. Furthermore, information on the total surface area of a cylinder will not provide sufficient information. A short wide cylinder can have the same surface area as a tall thin one. For example, radius 5 cm and height 4 cm or radius 4 cm and height 7.5 cm or radius 3 cm and height 12 cm or radius 2 cm and height 20.5 cm etc all have the same total surface area. But in each case the value of the other measure, for the open cylinder will be different.
What is the surface area of a cylinder that's 16 and 9?
The question cannot be answered without knowing which one of the two measures is the radius (or is it the diameter?), and which one is the height.
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.
How do you find the height of a cylinder when you only have the radius and surface area?
Surface area of a cylinder = 2 x (Area of one end) + (Circumference of one end) x heightLeta = surface area (known)r = radius (known)h = height (unknown)a = 2 x pi x r2 + 2 x pi x r x hSo, h = (a - 2 x pi x r2) / (2 x pi x r)
What is the formula for calculating total surface area of a cylinder?
A cylinder has two circular ends, then the long side surface, which is actually a rectangle if you flatten it out. You need the radius of the circular end (distance from the middle to the edge), and the height of the cylinder to work out the surface area. Doing the circular ends first, the surface area is given by the formula PI x radius squared. PI is 3.1415 for normal use. There are two ends, so count the answer twice. The side surface is a rectangle with one side of the height of the cylinder, and the other side the circumference of the circular end. The circular end length is 2 x PI x radius of the circular end. Now multiple that answer by the height of the cylinder. Finally add together the area of the two ends (don't forget to count both), and the area of the rectangle making up the long side, nd that's your answer.
