Determine the dimensions to give the maximum volume

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1. A large batch of electric light bulbs have a mean time to failure of 800 hours and the standard deviation of the batch is 60 hours. Determine the probability that the mean time to failure of a random sample of 16 light bulbs will be between 790 hours and 810 hours, correct to three decimal places.

2. A closed cylindrical container has a surface area of 400 cm2, determine the dimensions to give the maximum volume.

3. A rectangular sheet of metal having dimensions of 28cm by 10cm has squares removed from each of the four corners & the sides bent upwards to form an open box. Determine the maximum volume

 

Reference no: EM13205001

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