2006-10-02 17:58:51 · 9 answers · asked by wood6605 1 in Science & Mathematics ➔ Mathematics
SA = 2(pi)r2 + 2(pi)(r)(h)
SA = 2(pi)(36) + 2(pi)(6)(10)
SA = 72pi + 120pi
SA = 192pi
2006-10-02 18:02:47 · answer #1 · answered by Jeanky 2 · 0⤊ 0⤋
Think of the cylinder as a bunch of really thin circles piled on top of each other. All of the circles are exactly the same - it's a cylinder. The surface area of one of the circles is its circumference: 2*pi*r = 12*pi. Circumference of all of the circles = 10 * 12*pi = 120*pi. That gives us the surface area of the cylinder without the top and bottom.
Now, for the surface area of the top and bottom, it's the AREA of the circle: pi*r^2 (pi*radius squared). 36*pi is the area of the circle; this means that 72*pi is the area of two of them.
Total surface area: 72*pi + 120*pi = 192*pi.
2006-10-03 01:07:07 · answer #2 · answered by Anonymous · 0⤊ 0⤋
It has a 6 ft radius area = 3.14 x 6 squared or 3.14 x 36 or 113 sq ft
So one end is 113 sq ft there are two ends so the two ends are 226 sq ft
This leaves the cylinder part which is the circumference x height
circumference is 2 x 3.14 x 6 = 37.7
Add it all together 226 + 37.7 = 263.7 sq ft
2006-10-03 01:05:45 · answer #3 · answered by teef_au 6 · 0⤊ 0⤋
Cut it open: you see a rectangular and two circles
The area of the rectangular is (pi x d) x h = pi x 6 ft x 10 ft = 60pi ft^2.
The area of one circle is pir^2 = pi x (6 ft)^2.
The total area is (2 x 36pi + 60pi) ft^2 = 132pi ft^2 ( = 415 ft^2).
Th
2006-10-03 04:39:04 · answer #4 · answered by Thermo 6 · 0⤊ 0⤋
The area consists of three parts, the top, the bottom, and the side. The top and bottom are circles, whose radius is 6 ft. The side is circumference of the circle multiplied by the height.
2006-10-03 01:03:19 · answer #5 · answered by arbiter007 6 · 1⤊ 0⤋
Calculate the area of the sides:
Circumference * height
Add to the the area of the ends:
2*Area of Circle.
So, the equation is: 2(pi)r*h + 2*(pi)r^2
where r is the radius, h is the height and pi is 3.14159.
2006-10-03 01:06:24 · answer #6 · answered by Lelanophilus 1 · 0⤊ 0⤋
First figure out surface area of "unrolled sheet" which is
(2*pi*r) * (10) = 2*3.14*6 *10 = 376.8 square feet.
Then add the top and bottom.
pi * r^2 = 3.14 * 6 * 6 = 113.04
add another 113.04
Total is 602.88
2006-10-03 01:07:59 · answer #7 · answered by nr91326 3 · 0⤊ 0⤋
if the cyinder does not have any thing in top and bottem
surface area=2*pi*r*h
=2*pi*6*10
=376.99 sqr ft
2006-10-03 01:11:27 · answer #8 · answered by sanjeewa 4 · 0⤊ 0⤋
http://en.wikipedia.org/wiki/Cylinder_%28geometry%29
2006-10-03 01:23:57 · answer #9 · answered by junaidi71 6 · 0⤊ 0⤋