Hard cone problem

The surface of the cone is 200cm², its height is 7 centimeters. Calculate the volume of this cone.

Correct result:

V =  168.4906 cm3

Solution:

S=200 cm2 h=7 cm  S=π r2+π r s s2=r2+h2 s=r2+h2  S=π r2+π r r2+h2  r=Sπ h2π+2 S=2003.1416 72 3.1416+2 2004.7943 cm  V=13 π r2 h=13 3.1416 4.79432 7168.4906=168.4906 cm3    Verifying Solution:  s=r2+h2=4.79432+728.4844 cm  S2=π r2+π r s=3.1416 4.79432+3.1416 4.7943 8.4844=200 cm2



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