Rotating cone

If the side of the rotating cone is 150 mm long and the circumference of the base is 43.96 cm, find its surface and volume.

Final Answer:

S =  483.482 cm2
V =  680.1455 cm3

Step-by-step explanation:

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=103297​=329.7  S=S1​+S2​=153.782+329.7=483.482 cm2
V=31​⋅ S1​⋅ h=31​⋅ 153.782⋅ 13.2684=680.1455 cm3

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