Question

find the volume of a cone with a base diameter of 6 cm and a height of 11 cm. 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 6 cm, so radius $r = \frac{6}{2} = 3$ cm.

Step2: Recall cone volume formula

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

Step3: Substitute values into formula

Substitute $\pi=3.14$, $r=3$ cm, $h=11$ cm:
$V = \frac{1}{3} \times 3.14 \times 3^2 \times 11$

Step4: Compute step-by-step

First calculate $3^2=9$, then:
$V = \frac{1}{3} \times 3.14 \times 9 \times 11 = 3.14 \times 3 \times 11$
$V = 3.14 \times 33$

Answer:

$103.62$ $\text{cm}^3$