Question

find the volume of a cone with a base radius of 5 yd and a height of 9 yd. 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: Recall 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 \( r = 5\) yd, \( h=9\) yd, and \( \pi = 3.14\).
First, calculate \( r^{2}\): \( r^{2}=5^{2}=25\).
Then, substitute into the formula: \( V=\frac{1}{3}\times3.14\times25\times9\).

Step3: Simplify the expression

\(\frac{1}{3}\times9 = 3\).
So, \( V=3.14\times25\times3\).
\(25\times3 = 75\).
Then \( V=3.14\times75\).
\(3.14\times75=235.5\).

Answer:

\(235.5\) cubic yards