Question

The volume of a cone is 28.26mm 3. The radius and height are the same. What is the radius of the cone? Use 3.14 for pi.

Answer 1

The formula to find the volume of a cone is

`\begin{gathered} V=(1)/(3)\pi r^2h \\ \text{ Where V is the volume,} \\ r\text{ is the radius of the circle of the base and } \\ h\text{ is the height of the cone} \end{gathered}`

In this case, you have

`\begin{gathered} r=h \\ \pi\approx3.14 \\ V=(1)/(3)\pi r^2h \\ 28.26mm^3=(1)/(3)(3.14)r^2(r) \end{gathered}`

Now, you can solve the equation for r