Rotary cone

The volume of the rotation of the cone is 472 cm3. The angle between the side of the cone and the base angle is 70°. Calculate the lateral surface area of this cone.

Correct answer:

S =  275.27 cm2

Step-by-step explanation:

V=31πr2h=472 cm3 tan70=rh h=rtan70 V=31πr3tan70 r=3πtan70472=5.47 cm  cos70=sr s=cos70r=16.01 cm S=πrs=275.27 cm2

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