Question

find the volume of a cone with a base diameter of 8 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: Calculate base radius

The diameter is 8 yd, so radius $r = \frac{8}{2} = 4$ yd.

Step2: Recall cone volume formula

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

Step3: Substitute values into formula

Substitute $r=4$, $h=9$, $\pi=3.14$:
$V = \frac{1}{3} \times 3.14 \times 4^2 \times 9$

Step4: Compute step-by-step

First calculate $4^2=16$, then $\frac{1}{3} \times 9 = 3$:
$V = 3.14 \times 16 \times 3 = 3.14 \times 48$

Step5: Final multiplication

$3.14 \times 48 = 150.72$

Answer:

$150.72$ yd³