Calculate 81560

The cone's surface is 75.36 cm, and the radius is 3 cm. Calculate the volume of the cone.

Correct answer:

V =  37.6513 cm3

Step-by-step explanation:

S=75.36 cm2 r=3 cm  S1​=π⋅ r2=3.1416⋅ 32≐28.2743 cm2  S = S1​+S2​  S2​=S−S1​=75.36−28.2743≐47.0857 cm2 S2​ = π⋅ r⋅ s  s=π⋅ rS2​​=3.1416⋅ 347.0857​≐4.9959 cm  s2 = h2+r2  h=s2−r2​=4.99592−32​≐3.9949 cm  V=3S1​​⋅ h=328.2743​⋅ 3.9949=37.6513 cm3

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