Cone side

Calculate the volume and area of the cone whose height is 10 cm and the axial section of the cone has an angle of 30 degrees between height and the cone side.

Correct result:

V =  349.0659 cm3
S =  314.1593 cm2

Solution:

h=10 cm A=30 rad=30 π180 =30 3.1415926180 =0.5236=π/6  tanA=r:h  r=h tan(A)=10 tan(0.5236)5.7735 cm  S1=π r2=3.1416 5.77352104.7198 cm2  V=13 S1 h=13 104.7198 10=349.0659 cm3
s=h2+r2=102+5.7735211.547 cm S2=π r s=3.1416 5.7735 11.547209.4395 cm2 S=S1+S2=104.7198+209.4395=314.1593 cm2



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