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Mathematics Clinic => Calculus => Topic started by: jman1234 on Dec 18, 2021

Title: A rectangular sheet of perimeter 24 cm and dimensions x cm by y cm is to be rolled into a cylinder ...
Post by: jman1234 on Dec 18, 2021

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?


◦ 15°
◦ 32°
◦ 30°
◦ 45°

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?



◦ x = 9 cm; y = 3 cm
◦ x = 8 cm; y = 4 cm
◦ x = 7 cm; y = 5 cm
◦ x = 10 cm; y = 2 cm
Title: A rectangular sheet of perimeter 24 cm and dimensions x cm by y cm is to be rolled into a cylinder ...
Post by: k.lashomb on Dec 18, 2021

Answer 1

30°



Answer 2

x = 8 cm; y = 4 cm