Question

Find the volume of a cone with a diameter of $10yards$ and a height of $12yards$. Round your answer to the nearest tenth.

Answer 1

Finding the volume of the cone:

The volume of the cone $=\frac{1}{3}{\mathrm{\pi r}}^2\mathrm{h}$

$\mathrm{Radius}=\frac{\mathrm{Diameter}}{2}=\frac{10}{2}=5\mathrm{yards}$

The height of the cone is $12yards$.

The volume of the cone $=\frac{1}{3}\times \frac{22}{7}\times 5\times 5\times 12=314.28cubicyards$

Now, $314.28cubicyards~314.3cubicyards$ (Rounding off to nearest tenth)

Thus. the volume of the cone is $314.3cubicyards$.