Find the surface area of the cylinder in terms of pi.
I know the formula is SA=LA+2B, but not sure how to plug in the numbers and get answers. Everytime I try I get wrong answer.
The cylinder has I assume radius 8in and height 20in.
possible answers
352piin^2
320piin^2
832piin^2
448piin^2
It's possible I may have the numbers switched around. Can someone please help?
Visualize opening up a can (cylinder) and flattening out the pieces.
Don't you have 2 circles + a rectangle ?
The length of the rectangle would be the circumference of the circle, which is 16π
total area = 2circles + 1 rectangle
= 2(π(8^2)) + (16π)(20)
= 128π + 320π = 448π
(the formula you stated was useless to me since You did not define what L, A, and B stand for)
Thank you I see where I messed up, it was on the second spot where you got 320.
To find the surface area of a cylinder, you can use the formula SA = 2πrh + 2πr^2.
Since you have the radius, r, as 8in, and the height, h, as 20in, you can substitute these values into the formula.
LA = 2πrh = 2π(8in)(20in) = 320πin^2
B = 2πr^2 = 2π(8in)^2 = 128πin^2
Now you can find the surface area, SA, by adding LA and 2B:
SA = LA + 2B = 320πin^2 + 2(128πin^2) = 320πin^2 + 256πin^2 = 576πin^2
So the surface area of the given cylinder in terms of π is 576πin^2.
Among the possible answers provided, the closest one is 576πin^2, which is not included in the options given. Thus, there seems to be an error in the provided answer choices.
To find the surface area of a cylinder in terms of pi, you need to use the formula SA = 2πr² + 2πrh, where r is the radius and h is the height of the cylinder.
Given that the radius of the cylinder is 8 inches and the height is 20 inches, you can substitute these values into the formula.
Surface Area (SA) = 2πr² + 2πrh
SA = 2π(8)² + 2π(8)(20)
SA = 2π(64) + 2π(160)
SA = 128π + 320π
SA = 448π
Therefore, the surface area of the cylinder in terms of pi is 448πin².