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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)
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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.
What is the radius and height of cylinder with a surface area of 32 square feet?
The surface area does not provide enough information to determine the dimensions of the cylinder. It could be a tall thin cylinder or a squat one. It is possible for two such to have the same surface area but vastly different volumes.
How do you find the area of one base of a cylinder?
The area of the base of a cylinder is: pi times radius squared
What is the surface area of a cylinder whose end area is 11 and height is 11 rounded to the nearest whole number?
Imagine taking the ends off the cylinder, cutting the side down from end to end and unrolling the side; this creates a rectangle with the height of the cylinder along one edge and the circumference of the end along the other. Thus area of side = circumference × height. The ends of the cylinder are circles, thus: area = π × radius² → radius = √(area ÷ π) circumference = 2 × π × radius → circumference = 2 × π × √(area ÷ π) = 2 × √(area × π) → area side = 2 × √(area × π) × height → surface area of cylinder = 2 × area ends + area side → surface area = 2 × 11 units² + 2 × √(11 units² × π) × 11 units → surface area = 22 + 22 × √(11π) units² → surface area ≈ 22 + 129.33 units² ≈ 151 units²
How do you find the curved surface area of a cylinder?
1. Find the surface area of the whole cylinder 2. Find the area of one of the two circles on either end of the cylinder 3. Multiply the circle's area by two and subtract their area from the total surface area 4. Now you have the surface area of an unclosed cylinder!
What is the lateral area of a right cylinder if the radius of the base is 12mm and the altitude of the cylinder is 5 times the base radius?
2pi(r) multiplied by the height is lateral area of right cylinder. 2Pi(r) being the circumerfence of one of the bases.
What is the surface area of a can?
== == A can is a regular cylinder. It's surface area can be found by finding the area of the ends (finding the area of one end and doubling it) and by finding the area of the side of the can. The ends are circles. The area of a circle is pi times the square of the radius Areacircle = pi x r2 [If you have the diameter of the can, r = d / 2] Find that area and double it. The side surface area of a right cylinder is found by finding the circumference of the cylinder and multiplying by its height. (Think of it as taking the cylinder and cutting it straight up the seam, unrolling the can and finishing the exercise by flattening it out to end up with a rectangle.) Areaside = C x h C = pi x diameter or pi x (2 times the radius) h = Height of can Given the height and the diameter of a can, these ideas can be applied to find its total surface area.
How do you determine the surface area of a cylinder?
To determine the surface area of a cylinder, you can use the formula: Surface Area = 2πrh + 2πr^2, where r is the radius of the base of the cylinder and h is the height of the cylinder. Plug in the values for r and h into the formula to calculate the surface area.
How do you find a sphere surface area where the radius equals 26cm?
The surface area of every sphere is (4 pi) times (the radius squared).Knowing that, you can find the surface area of not only the one you'reasking about right now, but of every sphere that ever was, is, or will be !
Why is the curved surface of cone not 2pi x r x l when the circumference is 2 x pi x r and L is the slant height that moves through this distance?
Good question. Firstly, I'm assuming you are referring to a regular cone (i.e one with the same slope on all sides, as opposed to one where the uppermost "tip" is pushed off centre).The area 2*pi*radius* length does give you a "surface", but it is based on the base measurements of the cone - it is the surface that would be created if you were to extend the curved surface straight upwards from the base of the cone (i.e creating a cylinder, not a cone).A cone clearly has less curved surface area than a cylinder - in fact, it has half the surface area of the equivalent cylinder. So the equation is pi*radius*slant height. (i.e not 2*pi*radius*slant height).
What is the radius of a ball with surface area of 153.94?
Radius = square root of (153.94/4pi) = 3.5 to one decimal place
A cylinder of base radious 4cm is opened at one end if the ratio of the area of its base to that of its curved surface is 134 calculate the height of the cylinder?
the base area is = PI * radius^2 = PI*16 the area of the curved surface is = 2*PI*radius*height = 2*PI*4*h ( h - is the height ) = 8*PI*h the ratio base area : curved surface = 134 PI * 16 : 8 * PI *h ( PI*16 )/( 8 * PI * h) = 134 2/h = 134 h = ( 1/67 )//
How do you find the are of an cilinder?
Call the length of the cylinder 'L', and the radius of the circular ends 'R'. The surface area of the 'pipe' part is [ 2 pi R L ]. If you also want the area of the ends, each one is [ pi R2 ].
