- #1
TW Cantor
- 54
- 1
Homework Statement
The diagram attached shows a solid engineering component which consists of a solid cylinder of length L and radius r, together with a right circular cone with semi-vertical angle = 11 degrees.
The total surface area of the component is 481.
The component is to be manufactured so as to have maximum volume.
Calculate the values of L and R for maximum volume.
Homework Equations
Surface area of cylinder = 2*pi*radius*length + 2*pi*radius2
Surface area of cone = pi*radius*length of slope + pi*radius2
Volume of cylinder = pi*radius2*length
Volume of cone = (pi*radius2*heigth)/3
The Attempt at a Solution
i guess i have to get an equation for the total volume in terms of r but i can't seem to think of a way to find the radius in terms of L. i would then differentiate this equation and equal it to 0 to find the maximum volume