Question

The volume of this cone is 571.0875 cubic meters. What is the radius of this cone? Use pi ≈ 3.14 and round your answer to the nearest hundredth.

Answer 1

r = 7.5 meters

Step-by-step explanation:

The volume of a cone can be calculated using the following equation:

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

Where π is 3.14, r is the radius of the cone and h is the height. So, if we replace V by 571.0875, π by 3.14, and h by 9.7m, we get:

`\begin{gathered} 571.0875=(1)/(3)*3.14* r^2_{}*9.7 \\ 571.0875=10.1526* r^2 \end{gathered}`

Therefore, we can solve for r as:

`\begin{gathered} (571.0875)/(10.1526)=(10.1526* r^2)/(10.1526) \\ 56.25=r^2 \\ \sqrt[]{56.25}=r \\ 7.5=r \end{gathered}`

So, the radius of the cone is 7.5 meters