Rotating cone

Find the surface and volume of the rotating cone if its side is 150 mm long and the circumference of the base is 43.96 cm.

Correct result:

S =  483.482 cm2
V =  680.1455 cm3

Solution:

s=150 mm→ cm=150/10  cm=15 cm o=43.96 cm    r=o/(2π)=43.96/(2⋅ 3.1416)≐6.9965 cm s2=h2+r2 h=s2−r2=152−6.99652≐13.2684 cm  S1=π⋅ r2=3.1416⋅ 6.99652≐153.782 cm2 S2=π⋅ r⋅ s=3.1416⋅ 6.9965⋅ 15=329710=329.7  S=S1+S2=153.782+329.7=483.482 cm2
V=13⋅ S1⋅ h=13⋅ 153.782⋅ 13.2684=680.1455 cm3

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