Question
Find the volume of the largest right circular cone that can be fitted in a cube whose edge is $14\ cm$.
✓
Answer
Radius of the base of the largest cone $=\frac{1}{2}\times$ edge of the cube $=\frac{1}{2}\times14=7\text{cm}$
Height of the cone = Edge of the cube $= 14\ cm$
Therefore, Volume of cone $(v)$ $=\frac{1}{3}\pi\text{r}^2\text{h}$ $=\frac{1}{3}\times3.14\times7^2\times14=718.66\text{cm}^3$
Height of the cone = Edge of the cube $= 14\ cm$
Therefore, Volume of cone $(v)$ $=\frac{1}{3}\pi\text{r}^2\text{h}$ $=\frac{1}{3}\times3.14\times7^2\times14=718.66\text{cm}^3$
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