Question

Find the volume of the cone. Round to the nearest tenth.27 m-45°O 10,306,0 m320,612.0 m341,224.0 m3763.4 m3

Answer 1

The volume of a cone is given by the formula:

`\begin{gathered} V=(1)/(3)*\pi* r^2* h \\ r\text{ is the radius} \\ h\text{ is the height} \end{gathered}`

From the question, we are provided with following:

`\begin{gathered} h=27m \\ \theta=45^0 \end{gathered}`

We have to use the given parameters to obtain the radius of the cone.

Thus, we have:

`\begin{gathered} \text{Tan 45}^0=\frac{opposite}{\text{adjacent}} \\ 1=\frac{27}{\text{radius}} \\ \text{Therefore, radius=27m} \end{gathered}`

Therefore, the volume of the cone is:

`\begin{gathered} V=(1)/(3)*(22)/(7)*27^2*27 \\ V=20,611.98m^3 \end{gathered}`

Hence, the correct option is option BH