Deviation 70744

Calculate the volume and surface of the rotating cone if its height is 10 cm and the side has a deviation of 30 ° from the base plane.

Correct answer:

V =  3141.5927 cm3
S =  2030.7574 cm2

Step-by-step explanation:

h=10 cm α=30°=30  tan α= h:r  r=h/tanα=h/tan30° =10/tan30° =10/0.57735=17.32051 cm  S1=π r2=3.1416 17.32052942.4778 cm2  V=31 S1 h=31 942.4778 10=3141.5927 cm3
sin α = h:s  s=h/sinα=h/sin30° =10/sin30° =10/0.5=20 cm  S2=π r s=3.1416 17.3205 201088.2796 cm2  S=S1+S2=942.4778+1088.27962030.7574 cm2   Verifying Solution:   s2=h2+r2=102+17.32052=20 cm s2=s

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