Rotating cone

The rotating cone has a base diameter of 18 dm and a height of 12 dm. Calculate the volume V.

Correct answer:

V =  1017.876 dm³

Step-by-step explanation:

$$\begin{gathered} D=18\text{ dm } \\ h=12\text{ dm } \\ r=D\mathrm{/}2=18\mathrm{/}2=9\text{ dm } \\ S=\pi \cdot r^2=3.1416\cdot 9^2\doteq 254.469{\text{dm}}^2 \\ V={\displaystyle \frac{1}{3}}\cdot S\cdot h={\displaystyle \frac{1}{3}}\cdot 254.469\cdot 12=1017.876{\text{dm}}^3 \end{gathered}$$

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