Angle of deviation

The surface of the rotating cone is 30 cm2 (with a circle base), and its surface area is 20 cm2. Calculate the deviation of this cone's side from the base's plane.

Correct answer:

A =  60 °

Step-by-step explanation:

S1=30 cm2 S2=20 cm2 S1 = S2 + π r2 r=(S1S2)/π=(3020)/3.14161.7841 cm S2 = π r s s=S2/(π r)=20/(3.1416 1.7841)3.5682 cos A = r/s A=π180°arccos(r/s)=π180°arccos(1.7841/3.5682)=60=60°

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