Slant height

The cone's slant height is 5cm, and the radius of its base is 3cm, find the volume of the cone.

Correct answer:

V =  37.6991 cm³

Step-by-step explanation:

$$\begin{gathered} s=5\text{ cm } \\ r=3\text{ cm } \\ h=\sqrt{s^2-r^2}=\sqrt{5^2-3^2}=4\text{ cm } \\ {S}_1=\pi \cdot r^2=3.1416\cdot 3^2\doteq 28.2743{\text{cm}}^2 \\ V={\displaystyle \frac{1}{3}}\cdot S_1\cdot h={\displaystyle \frac{1}{3}}\cdot 28.2743\cdot 4=37.6991{\text{cm}}^3 \end{gathered}$$

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