need help on this problem!.....

[MBH_14]

Here is the problem:

A waffle cone is to contain 50 cubic centimeters of ice cream. Find the dimensions (radius and height) of the cone if its lateral surface area is 70 square centimeters. Use Newton's method to solve the equation. NOTE: The lateral surface area of a cone is A=(pi)(r)sqrt(r^2+h^2).

 

[Unco]

The volume of a cone is given by V = (1/3)pi.r².h.

Where abouts are you getting stuck?

 

[MBH_14]

I guess what i am confused is how to use that equation with newton's method to find r and h.

 

[Unco]

You have two equations. Rearrange the volume equation for h and substitute this into your equation for surface area.

You now have a polynomial of r. Apply the Newton-Raphson Method to solve (approximately) for r.

Note that you would want to square both sides of the area equation to get rid of the radical first.