The conical

The conical candle has a base diameter of 20 cm and a side of 30 cm. How much dm ^ 3 of wax was needed to make it?

Correct answer:

V =  2.9619 dm³

Step-by-step explanation:

$$\begin{gathered} D=20\text{ cm } \\ s=30\text{ cm } \\ r=D\mathrm{/}2=20\mathrm{/}2=10\text{ cm } \\ h=\sqrt{s^2-r^2}=\sqrt{30^2-10^2}=20\sqrt{2}\text{ cm}\doteq 28.2843\text{ cm } \\ {V}_1={\displaystyle \frac{1}{3}}\cdot \pi \cdot r^2\cdot h={\displaystyle \frac{1}{3}}\cdot 3.1416\cdot 10^2\cdot 28.2843\doteq 2961.922{\text{cm}}^3 \\ V=V_1\to {\text{dm}}^3=V_1\mathrm{/}1000{\text{dm}}^3=2961.922\mathrm{/}1000{\text{dm}}^3=2.962{\text{dm}}^3=2.9619{\text{dm}}^3 \end{gathered}$$

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