Question

the volume of this cone is 123.43968 cubic feet. What is the volume height of This cone? Use pi ≈ 3.14 and round your answer to the nearest hundredth

Answer 1

The volume of a cone can be calculated with the following formula:

$V=\pi r^2h$

Where "r" is the radius and "h" is the height.

Since:

$\pi\approx3.14$

You can rewrite it as following:

$V=(3.14)r^2h$

Solving for "h":

$h=\frac{V}{(3.14)(r^2)}$

According to the information given in the exercise, you know that:

$\begin{gathered} V=123.43968ft^3 \\ r=3.6ft \end{gathered}$

Then, you can substitute these values into the last formula in order to find the height of the cone:

$h=\frac{123.43968ft^3}{(3.14)(3.6ft)^2}=3.033ft$

Rounded to the nearest hundreth, the height is:

$h\approx3.03ft$