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

Answer:

r = 7.5 meters

Explanation:

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

$V=\frac{1}{3}\times\pi\times r^2\times h$

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:

$\begin{gathered} 571.0875=\frac{1}{3}\times3.14\times r^2_{}\times9.7 \\ 571.0875=10.1526\times r^2 \end{gathered}$

Therefore, we can solve for r as:

$\begin{gathered} \frac{571.0875}{10.1526}=\frac{10.1526\times r^2}{10.1526} \\ 56.25=r^2 \\ \sqrt[]{56.25}=r \\ 7.5=r \end{gathered}$

So, the radius of the cone is 7.5 meters