Axial cut

The cone surface is 388.84 cm2, and the axial cut is an equilateral triangle. Find the cone volume.

Correct answer:

V =  480.6611 cm3

Step-by-step explanation:

S=388.84 cm2 s = 2r S = π r2 + π r s = π r (r+s) S = π r (r + 2r ) = 3 π r2  r=S/(3π)=388.84/(3 3.1416)6.4232 cm s=2 r=2 6.423212.8464 cm  h2 = s2  r2 h=r 3=6.4232 311.1253 cm  V=π r2 h/3=3.1416 6.42322 11.1253/3=480.6611 cm3

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