Question 1
A trough is to be made with an end of the dimensions shown. The length of the trough is to be long. Only the angle θ can be varied. What value of θ will maximize the trough's volume?Question 2
A rectangular sheet of perimeter 24 cm and dimensions x cm by y cm is to be rolled into a cylinder as shown in part (a) of the figure. What values of x and y give the largest volume?Answer 1
30°Answer 2
x = 8 cm; y = 4 cm