Question
Show that the right circular cylinder of given surface and maximum volume is such that its height is equal to the diameter of the base.
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A rectangular sheet of fixed perimeter with sides having their lengths in the ratio is converted into anopen rectangular box by folding after removing squares of equal area from all four corners. If the total area of removed squares is 100, the resulting box has maximum volume. Then the length of the sides of the rectangular sheet are24 (b) 32 (c) 45 (d) 60Question Text | Show that the right circular cylinder of given surface and maximum volume is such that its height is equal to the diameter of the base. |