Question

Find the volume of a cone with a base radius

Answer 1

Step 1:

Write the formula for the volume of a cone.

`\begin{gathered} Volume\text{ of a cone = }(1)/(3)\pi r^2h \\ \text{r = radius} \\ \text{h = height} \end{gathered}`

Step 2:

Given data

r = 6 in

h = 8 in

Step 3

Substitute in the formula to find the volume.

`\begin{gathered} Volume\text{ of a cone = }(1)/(3)\pi r^2h \\ \text{= }(1)/(3)*\pi*6^2*8 \\ =\text{ }(1)/(3)*\pi*36*8 \\ =\text{ }(288\pi)/(3) \\ =\text{ 96}\pi\text{ in}^3 \end{gathered}`

Final answer

`Volume\text{ of the cone = 96}\pi\text{ in}^3`