The question of how to find the volume of a cylinder may arise not only in a student who studies stereometry. Streamlined and flowing shapes in architecture and interior design are very popular today. The cylinder also belongs to them. By itself, it is a body of revolution - a rectangle that is scrolled 360 degrees around one of the sides. Columns, pistons, pans, cups, glasses, vases, etc. have such a shape. Of course, information on finding the cylinder volume can rarely be useful in everyday life, but at school they devote quite a lot of time to this topic, so you should not ignore it.
Standard Method for Determining Cylinder Volume
In order to understand the features of the volume of the cylinder, you need to return to the topic of parallelepiped. This body has a base in the form of a rectangle or square. To calculate the volume of such a geometric figure, multiply the area of ββthe base (S = a Γ b) by height. With a cylinder, all by analogy. The basis is a circle whose area formula is S = ΟR 2 . Height is any vertical line, most often choose the one that connects the centers of the bases.
How to find the cylinder volume diagonally?
Sometimes it can happen that under conditions there will be no necessary quantities, then it will be necessary to find them according to the drawing, using the properties of the cylinder. The most common example of such a case are tasks in which the diagonal of the section is known and one of the components of the volume formula is the radius or height. A task with a similar condition can be considered typical of this topic. To solve it, you need to remember only one thing: the height of the cylinder is any vertical line that connects the bases and creates an angle of 90 degrees with them. Using this feature, you can easily determine that the section diagonal (which is a cube or rectangle), radius and height create a triangle together. Its sides can be found by the Pythagorean theorem.