Calculate 32311

Calculate the volume and surface of a cone with a base diameter of 10 dm and a side of 13 dm.

Final Answer:

S =  282.7433 dm2
V =  314.1593 dm3

Step-by-step explanation:

D=10 dm s=13 dm  r=D/2=10/2=5 dm s2 = h2+r2 h=s2−r2​=132−52​=12 dm  S1​=π⋅ r2=3.1416⋅ 52≐78.5398 dm2 S2​=π⋅ r⋅ s=3.1416⋅ 5⋅ 13≐204.2035 dm2  S=S1​+S2​=78.5398+204.2035=282.7433 dm2
V=31​⋅ S1​⋅ h=31​⋅ 78.5398⋅ 12=314.1593 dm3

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You need to know the following knowledge to solve this word math problem:

algebraarithmeticsolid geometryplanimetricsUnits of physical quantitiesGrade of the word problem

 
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