Cone - side

Find the surface area and volume of the cone if its height is 125 mm and the side length is 17 cm.

Correct result:

S =  1032.3877 cm2
V =  1737.6934 cm3

Solution:

h=125 mm→ cm=125/10  cm=12.5 cm s=17 cm  s2=h2+r2 r=s2−h2=172−12.52≐11.5217 cm  S1=π⋅ r2=3.1416⋅ 11.52172≐417.0464 cm2 S2=π⋅ r⋅ s=3.1416⋅ 11.5217⋅ 17≐615.3413  S=S1+S2=417.0464+615.3413=1032.3877 cm2
V=13⋅ S1⋅ h=13⋅ 417.0464⋅ 12.5=1737.6934 cm3

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