Question

what is the approximate volume of a cone with a height of 6 mm and radius of 18 mm?
use 3.14 to approximate pi, and express your final answer to the nearest hundredth.
enter your answer as a decimal in the box.

Explanation:

Step1: Recall cone volume formula

The volume $V$ of a cone is given by $V = \frac{1}{3}\pi r^2 h$

Step2: Substitute given values

Here, $r=18$ mm, $h=6$ mm, $\pi=3.14$. Substitute into the formula:
$V = \frac{1}{3} \times 3.14 \times 18^2 \times 6$

Step3: Calculate $18^2$ first

$18^2 = 324$

Step4: Multiply remaining terms

$V = \frac{1}{3} \times 3.14 \times 324 \times 6 = \frac{1}{3} \times 3.14 \times 1944 = 3.14 \times 648$

Step5: Compute final product

$3.14 \times 648 = 2034.72$

Answer:

2034.72