Afrustum is formed when a plane that is parallel to a cone’s base cuts off the upper portion, as shown below.
a cone is shown. the top part of the cone is cut off to form a frustum. the frustum has a height of 6 and a radius of 4. the cone has a height of 3 and a radius of 2.
what is the volume of the frustum? leave the answer in terms of π.
π units3

Step-by-step explanation:

The formula for calculate the volume of a cone is:

Where "r" is the radius and "h" is the height.

Let's calculate the volume of the entire cone before the plane cut off the upper portion. You can identify that:

Therefore, substituting into the formula, you get:

Let's calculate the volume of the upper portion. You can identify that:

Therefore, this is:

Then, the volume of the frustum is:

step-by-step explanation:

we can use this expression to calculate the energy gain as a particle moves with a field or the energy loss as it moves against it. (note that it is also used to define the electron-volt, a unit of energy equal to that gained by an electron as it falls through a pd of 1 v, i.e. w = 1 ev = 1.6 10-19 c 1 v = 1.6 10-19j).in fact this expression is really nothing more than the statement that potential is the potential energy per unit charge. in this case, v= w/qis simply stating that the change in potential energy(or work done) per unit charge is equal to the change in potential (or potential difference), v.student questions: uniform electric fields2electron beamcathode+5 kvanode0 v