Calculate 28011

The volume of the cone is 9.42 cm3, and its base diameter is 3 cm.
Calculate
1 / height of the cone
2 / side cones
3 / cone surface

Correct answer:

h =  3.998 cm
s =  4.2701 cm
S =  27.191 cm2

Step-by-step explanation:

V=9.42 cm3 D=3 cm  r=D/2=3/2=23​=1.5 cm  S1​=π⋅ r2=3.1416⋅ 1.52≐7.0686 cm2  V = 31​ S1​ h  h=3⋅ V/S1​=3⋅ 9.42/7.0686=3.998 cm
s=h2+r2​=3.9982+1.52​=4.2701 cm
S2​=π⋅ r⋅ s=3.1416⋅ 1.5⋅ 4.2701≐20.1224 cm2  S=S1​+S2​=7.0686+20.1224=27.191 cm2

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algebrasolid geometryplanimetricsUnits of physical quantitiesGrade of the word problem

 
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