Question

If the area or the base of a cone is 9 square feet and the altitude is 3ftb then what's the volume

Answer 1

9 cubic feet

Step-by-step explanation

The volume of a cone is given by:

`\text{Volume}_(cone)=(1)/(3)base\cdot height`

then

let

`\begin{gathered} \text{base}=9ft^2 \\ \text{altitude}=3\text{ ft} \end{gathered}`

replace in the formula

`\begin{gathered} \text{Volume}_(cone)=(1)/(3)base\cdot height \\ \text{Volume}_(cone)=(1)/(3)\cdot9ft^2\cdot(3\text{ ft)} \\ \text{Volume}_(cone)=(1)/(3)\cdot9ft^2\cdot(3\text{ ft)} \\ \text{Volume}_(cone)=9ft^3 \end{gathered}`

so, the answer is 9 cubic feet

I hope this helps you