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FutureStarrThe volume of a cylinder
The volume of a cylinder is defined in a number of ways. One of these is the cross-sectional area of a circular base times its height, which is equivalent to the area of a circular pyramid with the same height.A cylindrical body is formed by two plane parallel planes and can be circular.We know that the circumference of a circle of radius 'r' is C = 2πr. Thus, when the circumference of the base of a cylinder (C) and its height (h) are given, then we first solve the equation C = 2πr for 'r' and then we apply the volume of a cylinder formula, which is, V = πr
Volume of cylinder has been explained in this article briefly along with solved examples for better understanding. In Mathematics, geometry is an important branch where we learn the shapes and their properties. Volume and surface area are the two important properties of any 3d shape. The cylinder is a three-dimensional shape having a circular base. A cylinder can be seen as a set of circular disks that are stacked on one another. Now, think of a scenario where we need to calculate the amount of sugar that can be accommodated in a cylindrical box.A cylinder can be seen as a collection of multiple congruent disks, stacked one above the other. In order to calculate the space occupied by a cylinder, we calculate the space occupied by each disk and then add them up. Thus, the volume of the cylinder can be given by the product of the area of base and height.
The hollow cylinder, also called the cylindrical shell, is a three-dimensional region bounded by two right circular cylinders having the same axis and two parallel annular bases perpendicular to the cylinders' common axis. It's easier to understand that definition imagining e.g. a drinking straw or a pipe - the hollow cylinder is this plastic, metal, or other material part. The formula behind the volume of a hollow cylinder Remember that the result is the volume of the paper and the cardboard. If you want to calculate how much plasticine you can put inside the cardboard roll, use the standard formula for the volume of a cylinder - the calculator will calculate it in the blink of an eye! Our cylinder volume calculator enables calculating the volume of that solid. Whether you want to figure how much water fits in the can, coffee in your favorite mug, or even what's the volume of a drinking straw - you're in the right place. The other option is calculating the volume of a cylindrical shell (hollow cylinder). (Source: www.omnicalculator.com)