A cylinder with radius 5 and width 10 has a lateral area of about 314.16 units2
length x width
it will increase more if you double the radius because the dimensions multiply and the curved surface has less area to cover as its height decreases and width increases
The lateral surface area of a cylinder is the area of a rectangle. In other words: when a cylinder is unravelled, you are left with a simple rectangle with width and length. Depending on what kind of cylinder you happen to have, the circumference of the cylinder could be the width or the length. Where you have a short cylinder with a wide mouth, the circumference would become the length and the h would become the w. So, think of a cylinder as a rectangle. Take a piece of paper (rectangular) and bring the ends together. What do you have?: a cylinder. Now - for the formula: Diameter= D, Circumference= C, pi= 3.14 These are the parameters of a circle. Now, in mathematics, the radius of the circle and 2 *Pi is used in order to find the circumference of the circle. So, (D * pi)= 2Pi *r = C Therefore, the circumference or perimeter equals the width and the height or h = length of a rectangle. Now, then: The Formula for the Lateral surface of a cylinder Is: (2*Pi*r)*h= A Remember that the radius is half the Diameter of a circle and must be multiplied by two in order to convert back to D or Diameter. Please, note that ( 2*pi )= 360 degrees, and that it (2*Pi) also represents one whole revolution around the perimeter of a circle. To simplify: Diameter X (3.14) X height = Lateral Area of a cylinder. I hope this is of some help!
Think of slitting the cylinder down one side, then unroll it and lay it down flat. What you have then is a rectangle. The area of the rectangle is: (length x width). The length of the rectangle used to be the length of the cylinder, and the width of the rectangle used to be the circumference of the circle at the end of the cylinder, which is (pi) x (diameter of the cylinder), or (pi) x (double the radius of the cylinder). We're sure you can do it now.
height * circumference (picture the cylinder cut along the long edge, then rolled out flat, and you would measure height * width) note: if you need to include the circles at the top and bottom of the cylinder, add (circumference / 3.1415926 )^2 * 2 * 3.1415926
A cylinder with a height of 4cm and a width of 10cm has a lateral area of about 125.66cm2
If you have a physical cylinder to measure, measure the "width" of the circle that is the cross section of the cylinder. That is the diameter, Half the diameter is the radius.
length x width
it will increase more if you double the radius because the dimensions multiply and the curved surface has less area to cover as its height decreases and width increases
The lateral surface area of a cylinder is the area of a rectangle. In other words: when a cylinder is unravelled, you are left with a simple rectangle with width and length. Depending on what kind of cylinder you happen to have, the circumference of the cylinder could be the width or the length. Where you have a short cylinder with a wide mouth, the circumference would become the length and the h would become the w. So, think of a cylinder as a rectangle. Take a piece of paper (rectangular) and bring the ends together. What do you have?: a cylinder. Now - for the formula: Diameter= D, Circumference= C, pi= 3.14 These are the parameters of a circle. Now, in mathematics, the radius of the circle and 2 *Pi is used in order to find the circumference of the circle. So, (D * pi)= 2Pi *r = C Therefore, the circumference or perimeter equals the width and the height or h = length of a rectangle. Now, then: The Formula for the Lateral surface of a cylinder Is: (2*Pi*r)*h= A Remember that the radius is half the Diameter of a circle and must be multiplied by two in order to convert back to D or Diameter. Please, note that ( 2*pi )= 360 degrees, and that it (2*Pi) also represents one whole revolution around the perimeter of a circle. To simplify: Diameter X (3.14) X height = Lateral Area of a cylinder. I hope this is of some help!
If you know the circumference then divide that by (2 x pi) and you will get the radius. The width is unnecessary information.
Think of slitting the cylinder down one side, then unroll it and lay it down flat. What you have then is a rectangle. The area of the rectangle is: (length x width). The length of the rectangle used to be the length of the cylinder, and the width of the rectangle used to be the circumference of the circle at the end of the cylinder, which is (pi) x (diameter of the cylinder), or (pi) x (double the radius of the cylinder). We're sure you can do it now.
height * circumference (picture the cylinder cut along the long edge, then rolled out flat, and you would measure height * width) note: if you need to include the circles at the top and bottom of the cylinder, add (circumference / 3.1415926 )^2 * 2 * 3.1415926
times the width times pi(3.14) like if your width was 6inches you do it like this 314 6 ____ 1,884
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!
hi i m sunny dhiman.. The lateral surface area of cylinder will become equal to the area of rectangle now we have area of rectangle = 4224 cm^2 breadth (width) = 33cm area of rectangle = l * b 4224 = l * 33 4224/33 = l 128 = l Perimeter of rectangle = 2l+ 2b =2 (128) + 2(33) =332cm Previous answer was completely wrong. Lateral area of cylinder is 4224 sq.cm. (not cu.cm. by the way) Height is 32 cm so lateral width must be 4224/32 = 132 cm = diameter of cylinder. Perimeter of sheet is the circumference of a 132 cm cylinder = 132*Pi = 414.6902 cm. So final sheet size is 32 cm x 414.6902 cm.
Surface area is 376.99 units2