What formula is used to find the surface area of a right circular cylinder?
2006-07-21 11:04:46 · 11 answers · asked by cherrypie p 3 in Science & Mathematics ➔ Mathematics
Is the radius squared in this formula?
2006-07-21 11:10:06 · update #1
The surface area of a right circular cylinder is determined by measuring the circumference of the circle, then multiplying by the height. If it is a closed cylinder (so that you need to add the areas of the "endcaps", then you add twice the area of the circle. So:
If you know the radius (r) and the height (h), the circumference of the circle is:
C = 2*π*r, so the surface area is 2πrh
If you need the endcaps, the area is πr²
The simple equation then becomes:
A = 2πr(r+h)
If you know the diameter (d) and h, divide d in half to get the radius, r = d/2, and then solve as above.
2006-07-21 11:15:16 · answer #1 · answered by Dave_Stark 7 · 1⤊ 0⤋
The formula for finding the surface Area of a Right Circular Cylinder is:
Surface Area = 2 x pi x R x H + 2 x pi x R^2
where:
pi=3.1416
R=radius of cylinder
H=Height of the Cylinder
2006-07-21 11:15:02 · answer #2 · answered by Da Sahar SToRaY 2 · 0⤊ 0⤋
There are two unique parts to the cylinder:
top and bottom (which are the same area)
the body of the cylinder.
For top and bottom:
Top = pi*r^2
Bottom = pi*r^2
Top and bottom = 2*pi*r^2
For the body, it is actually a rectangle that wraps around in a circular fashion. A rectangle's area is Length * Width.
Width is the height of the cylinder, or "h"
Length is actually the circumference of the base = 2*pi*r
Length * width = 2*pi*r*h
Total surface area = Top + Bottom + Body
= 2*pi*r^2 + 2*pi*r*h = 2*pi*r*(r + h)
2006-07-21 16:27:24 · answer #3 · answered by Anonymous · 0⤊ 0⤋
find the perimiter of the circle on top (diameter * pi) then multiply it by the height of the cylinder. This will give you the lateral area. add that to the area of the circle (pi * radius^2) times two (the second circle on the other end must also be included.)
2006-07-21 11:14:06 · answer #4 · answered by agfreak90 4 · 0⤊ 0⤋
The surface area is the product of the heigth (h) and circumfrence of the base circle with radius, r(2x pi x r)+ the suraface area of the top and bottom areas, if closed (each area is pi x r^2).
Area= surface area + area of top cover+area of bottom cover
Area= 2x pi x r x h + pi x r^2 + pi x r^2
2006-07-21 11:19:05 · answer #5 · answered by Akowekowura 1 · 0⤊ 0⤋
the cylinder is a circular prism..... the gemeral formula to find the total surface area of a prism is given by
TSA = (twice the base area) + (lateral surface area)
In this case, base is a circle... so base area is (pi x r^2)
Lateral surface area is given by the perimeter of the base multiplied by the total height of the prism....
in this case the perimeter of the base is the circumference of the base circle, given by (2 x pi x r)
so lateral surface area is given by (2 x pi x r x h)....
so now we come back to our formula for total surface area
TSA = LSA + 2xbase area
= (2 x pi x r x h) + (2 x pi x r^2)
By rearranging we can get,
TSA = 2 x pi x r x (h + r)
the general formula which i gave earlier can be used to calculate the tsa of any prism
2006-07-21 18:25:02 · answer #6 · answered by Hanzel 2 · 0⤊ 0⤋
You need the two ends which are circles:
2 * pi * r²
Then you need the circumference times the height for the sides:
2 * pi * r * h
Add these together to get the total surface area.
2006-07-21 11:14:39 · answer #7 · answered by Puzzling 7 · 0⤊ 0⤋
C*h or 2 * pi* radius*height
2006-07-21 11:29:59 · answer #8 · answered by andy17mex 2 · 0⤊ 0⤋
2 x pi x R x H + 2 x pi x R^2 :)
2006-07-21 12:37:21 · answer #9 · answered by Anonymous · 0⤊ 0⤋
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2016-11-25 00:47:38 · answer #10 · answered by ? 4 · 0⤊ 0⤋