Can someone tell me the method of working out the area within a cylinder.?



Answer:
If you are looking for the area of the inside walls of the cylinder, multiply the circumference (diameter times 3.1416) of the cylinder by the height of the same. If you need to include the surface areas of the two ends, calculate the square of the diameter multiplied by 0.7854 and multiply the result by 2 (for the two ends. Add this result to the first calculation for the inside wall area.
pi*r^2*h

Find the area of the circle, then multiply by the height of the cylinder.
I think you mean volume of a cylinder. Volume of a cylinder is area x height. The area of a circle is Pi times the radius of the circle squared or Pi*r^2 so volume of a cylinder is Pi * r^2 * height.
I assume you mean VOLUME rather than area.

Any regular solid with a constant-sized cross section over its height has the same formula for its volume:

The area of the base, times the height.

In the case of a cylinder, this is:

Volume = pi*r*r*h,
where r is the radius of the end, and h is the height.

If you meant the SURFACE AREA, then add the area of the two ends to the area of the side: The ends are circles, the side is a rectangle bent into a circular shape, with a height h and a length around the circle of 2*r*pi

So we get Surface Area = 2 * (pi * r * r) + (2 * r * pi * h), or

Area = (2 * pi * r) * (r + h)
If the cylinder is open at both ends (like a pipe), then...

Internal Diameter x 3.14 (Pi) x Length
= Internal Area. in units².

If it has a base then.. Internal Radius squared x 3.14 (Pi)
= Area in units².( x 2 if it has top a AND a bottom).
Add one or both of these areas, if required, to the area of the body (above) to give total area in units².
The surface area of a cylinder is the area of the two circles that are the ends, plus the area of the "rectangle" (unrolled) that is the center of the cylinder.

Area of circle = pi * radius^2
Area of the center = Circumference of the circle * height of the cylinder = (2 * pi * radius) * height

Total surfance area of cylinder = 2*area of circle + area of center


The VOLUME of a cylinder is the area of the circle * the height...

V = pi * radius^2 * h

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