Cone

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

Correct answer:

V =  20266.7887 cm³

Step-by-step explanation:

$$\begin{gathered} r=26.3 \\ s=38.4 \\ h=\sqrt{s^2-r^2}=\sqrt{38.4^2-26.3^2}\doteq 27.9798 \\ S=\pi \cdot r^2=3.1416\cdot 26.3^2\doteq 2173.0082 \\ V=S\cdot h\mathrm{/}3=2173.0082\cdot 27.9798\mathrm{/}3=20266.7887{\text{cm}}^3=2.027\cdot 10^4{\text{cm}}^3 \end{gathered}$$

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