Question
The sum of the surface areas of a cuboid with sides and and a sphere is given to be constant. Prove that the sum of their volumes is minimum, if is equal to three times the radius of sphere. Also find the minimum value of the sum of their volumes.
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Question 1
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 | The sum of the surface areas of a cuboid with sides and and a sphere is given to be constant. Prove that the sum of their volumes is minimum, if is equal to three times the radius of sphere. Also find the minimum value of the sum of their volumes. |