Rotary cone

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

Correct result:

S =  275.27 cm2

Solution:

V=13πr2h=472 cm3 tan70=hr h=rtan70 V=13πr3tan70 r=472πtan703=5.47 cm  cos70=rs s=rcos70=16.01 cm S=πrs=275.27 cm2



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