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Answer :

Answer:

Step-by-step explanation:

Volume of the trough = area of the end part * 20

= 20 (cosO)/2 *((1 + (1 + 2sinO) + 1)  

= 10  cosO (2 + 2 sinO)

= 20 cosO(1 + sinO)

You can now find the value of angle O  for maximum volume by drawing a graph of the above function by hand or using on-line software.

The value comes to 30 degrees.