A rectangular beam is cut from a cylindrical log of radius 25 cm. A cross-section of the log is shown below. The strength, S, of a beam of width w and height h is proportional to wh2.

(a) Express the strength of the beam as a function of w only. Use k as the proportionality constant.
S(w) =

(b) Find the exact width and height of the beam of maximum strength.
Width =
Height =

Question

A rectangular beam is cut from a cylindrical log of radius 25 cm. A cross-section of the log is shown below. The strength, S, of a beam of width w and height h is proportional to wh2.


(a) Express the strength of the beam as a function of w only. Use k as the proportionality constant.
S(w) =  

(b) Find the exact width and height of the beam of maximum strength.
Width =  
Height =

anonymous · Answer

where is the figure?

anonymous · Answer

Can you clarify what the formula for strength is?  I'm not sure why there's a "2" in it.