What is surface area and what is the formula to find the surface area of a right circular cylinder???
What is surface area, dealing with math and what is an easy formula to find the surface area of a right circular cylinder?
surface area
let r be radius of base of cylinder
let h be height of cylinder
surface area of right circular cylinder
=2*(area of flat circular face/base)+ curved area
—–it has 2 flat circular faces
area of flat circular face
=pi*r*r
area of curved surface= circumfurence of base * height
= (2*pi*r) * h
therefore total surface area of a right circular cylinder= 2*pi*r*r + 2*pi*r*h
I hope u have understood the meaning of surface area as well.–roughly the total area of outer surface of an object
best regards,
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February 9th, 2010 at 3:07 pm
Surface area is the amopunt of paper you’d need to cover the shape.
For a cylinder of height H with two circular ends of radius R.
Each end is pi x (R squared)
The verticle bit is the height x the circumference of the end
ie H x 2 x pi x R
The total area is therefore
(2 x (pi x R squared) + (H x 2 x pi x R)
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February 9th, 2010 at 3:12 pm
Surface area is pretty self-explanatory; it’s the area of the surface of a 3-dimensional object (cube, cylinder, sphere, cone, etc.).
For a right circular cylinder, the formula is a little more complicated than usual, because you have to deal with two types of surfaces – the circular portion at each end and the cylinder portion. The area of the two circles at either end is (pi) * r ^2 each, while the cylindrical portion is easier to think of if you cut it and open it up into a rectangle, where one side is the height of the cylinder (h) and the other is the circumference of the circle, or 2 (pi) r.
So, the overall formula is 2 (pi) r^2 + 2 (pi) r*h, or to simplify:
2*(pi)*r*(r+h)
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February 9th, 2010 at 3:53 pm
surface area
let r be radius of base of cylinder
let h be height of cylinder
surface area of right circular cylinder
=2*(area of flat circular face/base)+ curved area
—–it has 2 flat circular faces
area of flat circular face
=pi*r*r
area of curved surface= circumfurence of base * height
= (2*pi*r) * h
therefore total surface area of a right circular cylinder= 2*pi*r*r + 2*pi*r*h
I hope u have understood the meaning of surface area as well.–roughly the total area of outer surface of an object
best regards,
References :
February 9th, 2010 at 4:35 pm
Surface area is the area of a given surface. Roughly speaking, it is the "amount" of a surface (i.e., it is proportional to the amount of paint needed to cover it), and has units of distance squared. Surface area is commonly denoted A for a surface in three dimensions, or A for a region of the plane (in which case it is simply called "the" area).
Right Circular Cylinder :
Right Circular Cylinder : A right circular cylinder is a cylinder whose base is perpendicular to its sides. Facility equipment, such as the reactor vessel, oil storage tanks, and water storage tanks, is often of this type.
The volume of a right circular cylinder is calculated using the following formula: V = pi*r^2*h.
The surface area of a right circular cylinder is calculated using the following formula:
SA = 2pi*r*h + 2pi*r^2.
The surface area of a right circular cylinder is expressed in square units, and the volume of a right circular cylinder is expressed in cubic units.
Example: Calculate the volume and surface area of a right circular cylinder with r = 3" and h = 4".
Be sure to include units in your answer.
Solution: V = pi*r^2*h , SA= 2pi*r*h + 2pi*r^2
V= pi(3)(3)(4) , SA = 2pi(3)(4) + 2pi(3)(3)
V= pi(36) , SA= 2pi(12) + 2pi(9)
V = 113.1 cubic inches, SA= 132 square inches.
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February 9th, 2010 at 5:06 pm
the Surface area is the area that lines on the Surface
T = 2 Pi r(r + h)
Found at http://mathforum.org/dr.math/faq/formulas/faq.cylinder.html#rccylinder
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