Question

find the volume of a cone with a radius of 3 meters and a height of 7 meters. use 3.14 or the calculator value for pi and provide an answer accurate to the nearest hundredth.

Explanation:

Step1: Write the formula for the volume of a cone

The formula for the volume \( V \) of a cone is \( V=\frac{1}{3}\pi r^{2}h \), where \( r \) is the radius and \( h \) is the height.

Step2: Substitute the given values into the formula

Given \( r = 3\) meters and \( h=7\) meters. Substitute these into the formula: \( V=\frac{1}{3}\times\pi\times(3)^{2}\times7\).
First, calculate \( (3)^{2}=9\). Then the formula becomes \( V=\frac{1}{3}\times\pi\times9\times7\).
Since \(\frac{1}{3}\times9 = 3\), the formula simplifies to \( V = 3\times\pi\times7=21\pi\).

Step3: Calculate the numerical value

Using \(\pi\approx3.14\), we have \( V=21\times3.14 = 65.94\) cubic meters.

Answer:

\(65.94\) cubic meters