what is the equation?

Question

to find the lateral area and the total area of a cylinder i know you have to use pi and the height and radius i think but i don't know how to put it in an equation if you can help me out thankx

Answer 1

Lateral area=2π*r*h
Total area=2π*r*h+2π*r^2=2π*r(r+h)

Answer 2

The equation for a circle, or the cross section of a cylinder is A=pi * r^2

The equation for a rectangle, or the long-wise cross section of a cylinder is A = L * H where H is the height of the cross section...

The equation for volume is V = pi * r^2 * L since the volume is really just an infinite number of circles totalling length L

Answer 3

Do you mean the surface area of a cylinder? If so, then the surface area is

S = (area of the top and bottom) + (area of the sides)

The area of the top and bottom are just circles, so their area is equal to pi(r^2). There are two of them, so we would have an area of 2pi(r^2).

The area of the sides is just the circumference, extended by the height of the cylinder. The circumference of a circle is equal to 2pi(r), so with the height extending it, it would be 2pi(r)h.

S = 2pi(r^2) = 2pi(r)h

Answer 4

Lateral area is a square if you unfold it, so find the sides, which are circumference and heigh giving you
2PiR*h

For total surface you just add 2x air of the circles on top and botom, so
2PiR*h+2(Pir^2)
because Pir^2 is air of circle

Answer 5

Lateral area =2pi*r *h
Total area = 2pi*r*h +2pi*r^2
r= radius and h = height