Angle of cone

The cone has a base diameter of 1.5 m. The angle at the main apex of the axial section is 86°. Calculate the volume of the cone.

Correct result:

V =  0.5 m3

Solution:

D=1.5 m r=D/2=1.5/2=34=0.75 m S1=π r2=3.1416 0.7521.7671 m2 A=86  tanA/2=r/h h=r/tan(A/2)=0.75/tan(86/2)0.8043 m V=13 S1 h=13 1.7671 0.8043=0.5 m3



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