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,
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)
References :
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)
References :
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 :
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.
References :
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
References :