Cone

Calculate the volume of the rotating cone with a base radius 26.3 cm and a side 38.4 cm long.

Result

V =  20266.789 cm3

Solution:

r=26.3 s=38.4 h=s2−r2=38.42−26.32≐27.9798 S=π⋅ r2=3.1416⋅ 26.32≐2173.0082 V=S⋅ h/3=2173.0082⋅ 27.9798/3≐20266.7887=20266.789 cm3r = 26.3 \ \\ s = 38.4 \ \\ h = \sqrt{ s^2-r^2 } = \sqrt{ 38.4^2-26.3^2 } \doteq 27.9798 \ \\ S = \pi \cdot \ r^2 = 3.1416 \cdot \ 26.3^2 \doteq 2173.0082 \ \\ V = S \cdot \ h/3 = 2173.0082 \cdot \ 27.9798/3 \doteq 20266.7887 = 20266.789 \ cm^3

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