Question

find the volume of a cone with a height of 9 ft and a base radius of
use the value 3.14 for π, and do not do any rounding.
be sure to include the correct unit in your answer.

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 of the base and \( h \) is the height.

Step2: Substitute the given values into the formula

Given \( r = 3\) ft, \( h=9\) ft, and \( \pi = 3.14\).
Substitute these values: \( V=\frac{1}{3}\times3.14\times3^{2}\times9 \).
First, calculate \( 3^{2}=9 \).
Then the expression becomes \( V=\frac{1}{3}\times3.14\times9\times9 \).
Since \( \frac{1}{3}\times9 = 3 \), the expression simplifies to \( V=3.14\times3\times9 \).
Next, \( 3\times9 = 27 \).
So \( V=3.14\times27 \).

Step3: Calculate the final result

\( 3.14\times27=(3 + 0.14)\times27=3\times27+0.14\times27=81+3.78 = 84.78\).

Answer:

\( 84.78\) cubic feet.