A body with two congruent and parallel circles as base and top surface is called a circular cylinder. If the centres of the circular surfaces of the cylinder lie vertically above each other, it is a straight circular cylinder - do my homework for me . You can also imagine a straight circular cylinder created by rotating a rectangle around one of its sides.
The lateral surface of a straight circular cylinder can be unwound, i.e. spread out into a plane. The lateral surface is a rectangle with the edge lengths h (height of the circular cylinder) and u (circumference of the base surface).
The surface area of a straight circular cylinder is the sum of twice the surface area of the base area and the surface area of the jacket:
The following applies to the surface area of the mantle:
For the area of the base of a circular cylinder holds:
AO=2 π r^2+2 π r h=2 π r(r+h)
If you increase the number of side faces of a prism with a regular n-corner as its base - pay someone to do my math homework , it becomes more and more like a cylinder. The volume of a circular cylinder can therefore be calculated using the formula for calculating the volume of a prism:
V=AG⋅h=π r^2 h
If a smaller circular cylinder of the same height is cut out of a circular cylinder symmetrical to the axis, the result is a hollow cylinder. For the surface area of a hollow cylinder applies - statistics homework helper : AO, hollow cylinder = AO, large cylinder + AM, small cylinder - 2 ⋅ AG, small cylinder
AO = 2π ⋅ ( r2^2 + r2h + r1h - r1^2)
The formula for the volume of a hollow cylinder can be derived both from the difference in the volumes of the two cylinders and from the area formula for circular rings: