Instruction

1

Before finding the height of a truncated

- r1 - the largest radius;

- r2 is the smallest radius;

- h is the height.In addition, as a conventional

**cone**, read its definition. A truncated cone is called a figure which is formed by a perpendicular cross-section plane of an ordinary**cone**, provided that the cross section parallel to its base. This figure has three characteristics:- r1 - the largest radius;

- r2 is the smallest radius;

- h is the height.In addition, as a conventional

**cone**, truncated there is a so-called forming, denoted by the letter l. Note the inner section**of the cone**: it is an isosceles trapezoid. If it is rotated around its axis, you get a truncated cone with the same parameters. In this case, the line that divides the isosceles trapezoid into two smaller ones, coincides with the axis of symmetry and height**of the cone**. The other side is the generatrix**of the cone**.2

Knowing the radii

**of the cone**and its**height**, you can find its volume. It is calculated as follows:V=1/3πh(r1^2+r1*r2+r2^2)If we know the two radii**of the cone**and its volume, this is enough to find**the height**of the figure:h=3V/π(r1^2+r1*r2+r2^2).In that case, if the condition of the problem the diameters of the circles, not the radius, this expression takes on a slightly different form:h=12V/π(d1^2+d1*d2+d2^2).3

Knowing the forming

**of the cone**and the angle between it and the base of this shape, you can also find her**height**. To do this, from the other vertices of the trapezoid to hold the projection to a larger radius to form a smaller right triangle. The projection will be equal to the height of the truncated**cone**. If you know l and forming the angle, the height is determine by the following formula:h=l*sinα.4

If the problem statement is known, only the cross-sectional area

**of the cone**, find**the height**is impossible unless you know both its radius.