Question

Find the volume of a cone with a base diameter of 6 yd and a height of 8 yd.Use the value 3.14 for 1, and do not do any rounding.Be sure to include the correct unit in your answer.

Answer 1

`\begin{equation*} 75.36\text{ }yd^3 \end{equation*}`

Step-by-step explanation

The volume of a cone is given by:

`V=(1)/(3)\pi r^2h`

where r = radius of the base of the cone

h = height of the cone

The diameter of the base of the cone is twice the radius. This implies that the radius of the cone is:

`\begin{gathered} D=2r \\ r=(D)/(2) \\ r=(6)/(2) \\ r=3\text{ }yd \end{gathered}`

Hence, the volume of the cone is:

`\begin{gathered} V=(1)/(3)*3.14*3^2*8 \\ V=75.36\text{ }yd^3 \end{gathered}`

That is the answer.