Book Maths Puzzle Area and Volume

A rectangular piece of sheet metal with an area of 1200 in^2 is to be bent into a cylindrical length (right circular cylinder) of stovepipe having a volume of 600 in^3. What are the dimensions of the sheet metal?

Read Solution (Total 1)

x*y= 1200 in^2
x=600/pi
y=2* Pi
10 years agoHelpfull: Yes(0) No(0)

Book Other Question

Suppose you have 108 green marbles and 144 red marbles. You decide to separate them into packets of equal number of marbles. Find the maximum possible number of marbles in each packet.
(A) 12
(B) 36
(C) 9
(D) 24
(E) None of these Is there a software to write a linear system of equations (it's actually an optimization problem), and solve it. it's of this kind
minF= Y.Y + w(X.X)+ s(Z.Z) with
Y= a + bI + cD + dI* + eD*
X= f + gI + hD + iI* + jD*
Z= k + lI + mD + nI* + oD*

All lower case are parameters, and adctually they have indices (is there something to write that easily, it's a pain under Word...)
I need to diiferentiate F with respects to I and D, then write I and D as functions of I* and D*. I can do it myself but it takes a really long time and even longer to type it, is there a solver for that??
thanks so much for your help