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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.
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 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.
Is the lateral surface area of cone is always one-third of cylinder's?
No, it never can equal one third of the lateral surface area:If the base of the cylinder and cone has radius r, and the height of the cone and cylinder has height h, then:Lateral surface area of a cone = πr√(r2+h2)Lateral surface area of a cylinder = 2πrhThe lateral surface area of a cone equals one third the lateral surface area of a cone when:πr√(r2+h2) = 1/3 x 2πrh⇒ √(r2+h2) = 2/3h⇒ r2+h2 = 4/9h2⇒ r2 = -5/9h2But a square number can never be negative, so this is impossible.However, the volume of a cone is one third the volume of the cylinder with the same radius r and height h:Volume cone = 1/3πr2hVolume cylinder = πr2h
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
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)
Find the height of a cylinder with a radius of 4 centimeter and the surface area is 72pi?
Think of the surface area of the cylinder in three parts. The top, the bottom, and the side. Surface area of the top and the bottom are easy, because the area of a circle is pi times the radius squared. Since the radius is 4, the area of the top and bottom are 16*pi each for a total of 32*pi. This means that the surface area of the "tube part" is 40*pi. {72 - 32 = 40} If you think of cutting this part, you can see that it's really just a rectangle. One side of the rectangle is the height of the cylinder, the other is the circumference of the base. The circumference is 2*pi*r, which here is 8*pi. Thus (8*pi)(height of cylinder) = (40*pi). Conclusion, the height of the cylinder is 5 cm.
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 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.
How would you calculate the outside surface area of a cylinder that is open on one end?
You would multipy the length of the cylinder by its circumference, then add to that the area of the circle on the closed end. the formula would be: (Pi X diameter X cylinder length) + (Pi X radius X radius) For the base, the area is pi*r2. Add this area to the SA of the side, which is circumference* height, or 2pi*r*h So, the final surface area would be pi*r2 + 2pi*r*h. Because there is only one base, you only need to find the area of one circle on the bottom.
