Determine 82032

Determine the volume and surface area of a cone whose slope of length 8 cm makes an angle of 75 degrees with the plane of the base.

Correct answer:

V =  71.8325 cm3
S =  79.9261 cm2

Step-by-step explanation:

s=8 cm α=75°=75  sin α = h:s  h=s sinα=s sin75° =8 sin75° =8 0.965926=7.72741 cm  cos α = r:s  r=s cosα=s cos75° =8 cos75° =8 0.258819=2.07055 cm  S1=π r3=3.1416 2.0706327.8874 cm2  V=31 S1 h=31 27.8874 7.7274=71.8325 cm3
S2=π r s=3.1416 2.0706 852.0387 cm2  S=S1+S2=27.8874+52.0387=79.9261 cm2



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