Surface area and volume

Find the surface area and volume of a rotating cone whose diameter is 60 mm and side length is 3.4 cm.

Correct answer:

S =  60.3186 cm2
V =  15.0796 cm3

Step-by-step explanation:

D=60 mm→ cm=60:10  cm=6 cm s=3.4 cm  r=D/2=6/2=3 cm h=s2−r2​=3.42−32​=58​=1.6 cm  S1​=π⋅ r2=3.1416⋅ 32≐28.2743 cm2 S2​=π⋅ r⋅ s=3.1416⋅ 3⋅ 3.4≐32.0442  S=S1​+S2​=28.2743+32.0442=60.3186 cm2
V=31​⋅ S1​⋅ h=31​⋅ 28.2743⋅ 1.6=15.0796 cm3

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