A cone shape cup is made from a circular piece of paper of radius 7 by cutting out a sector and joining the edge AC and BC. Find the maximum (volume) of such a cup

The answer is "138.10"

Step-by-step explanation:

Let r also be cone base radius and h = the cone height.  

The radius for the original circle was on either side of the cone plied together = 7.  

The hypotenuse is 7, as well as a right triangle, is formed. So:

Calculating the volume of the cone:

Setting the derivative to zero and solving for h^2:

Calculating the maximum volume:

if the angular bisector of an triangle bisects the opposite side, prove that the other two sides are equal.