Maximum of volume

The shell of the cone is formed by winding a circular section with a radius of 1. For what central angle of a given circular section will the volume of the resulting cone be maximum?

Correct answer:

A =  293.9388 °

Step-by-step explanation:

s=1  V = 31   π   r2   h  h = s2  r2 V = 31   π   r2   s2  r2 V = 31   π   r2   1 r2  V = 0 V =  drdV  =  3 1  r2π r (2  3 r2) r >0; r = 1  2  3 r2 = 0 r=2/30.8165  o1=2π r=2 3.1416 0.81655.1302 o2=2π s=2 3.1416 16.2832  A=360 o2o1=360 6.28325.1302=120 6=293.9388=293°5620"

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