Question

Find the volume of a cone with a base diameter of 8 ft and a height of 12 ft.Use the value 3.14 for , and do not do any rounding.Be sure to include the correct unit in your answer.

Answer 1

Step1: write out the given parameters from the question

`\begin{gathered} \text{diameter}=8ft \\ \text{height}=\text{ 12ft} \end{gathered}`

Step2: write out the formula

`\begin{gathered} \text{volume of cone=}(1)/(3)\pi r^2h \\ \text{where r=}\frac{\text{8}}{2}=4,\text{ h=12} \end{gathered}`

Step3: substitute the values into the formula

`\text{volume of cone=}(1)/(3)*3.14*4^2*12`
`\begin{gathered} =3.14*16*4 \\ =200.96ft^3 \end{gathered}`

Therefore the volume of the cone is 200.96ft³