Calculate cone - S,V

Calculate the surface and volume of a rotating cone, the base of which has a diameter of 6 cm and a height of 4 cm.

Final Answer:

S =  75.3982 cm2
V =  37.6991 cm3

Step-by-step explanation:

D=6 cm h=4 cm  r=D/2=6/2=3 cm h2 = s2−r2  s=h2+r2​=42+32​=5 cm  S1​=π⋅ r2=3.1416⋅ 32≐28.2743 cm2 S2​=π⋅ r⋅ s=3.1416⋅ 3⋅ 5≐47.1239  S=S1​+S2​=28.2743+47.1239=75.3982 cm2
V=31​⋅ S1​⋅ h=31​⋅ 28.2743⋅ 4=37.6991 cm3

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arithmeticsolid geometryplanimetryUnits of physical quantitiesGrade of the word problem

 
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