How do you calculate volume by slicing?

Use the slicing method to derive the formula V = 1 3 πr2 h for the volume of a circular cone. If a region in a plane is revolved around a line in that plane, the resulting solid is called a solid of revolution, as shown in the following figure. Figure 2.15 (a) This is the region that is revolved around the x-axis.

How do you find the volume of a triangle calculator?

volume = 0.5 * b * h * length , where b is the length of the base of the triangle, h is the height of the triangle and length is prism length.

How do you find the volume of a tetrahedron?

Here is one way to think of it. A tetrahedron is 1 6 of the volume of the parallelipiped formed by a →, b →, c →. The volume of the parallelepiped is the scalar triple product | (a × b) ⋅ c |. Thus, the volume of a tetrahedron is 1 6 | (a × b) ⋅ c |

How do you make a tetrahedron out of a cube?

The idea is to build a tetrahedron inside of a cube. Taking two diagonals of two opposite sides of a cube and attaching them properly we get a tetrahedron. We want to see that the volume of the tetrahedron is one third of the cube that contains it. If the tetrahedron edge length is 1 then the cube edge length wis:

How many equilateral triangles are in a regular tetrahedron?

A regular tetrahedron is composed of four equilateral triangles. The formula for the volume of a regular tetrahedron is: , where represents the length of the side.

What is the volume of a tetrahedron formed by a parallelipiped?

A tetrahedron is 1 6 of the volume of the parallelipiped formed by a →, b →, c →. The volume of the parallelepiped is the scalar triple product | (a × b) ⋅ c |. Thus, the volume of a tetrahedron is 1 6 | (a × b) ⋅ c | In order to solve the question like you are trying to, notice that by V = 1 3 B h = 1 6 | | a × b | | ⋅ h.