Question

what is the volume of this cone? round your answer to the nearest hundredth. 16.8 mm 13.4 mm cubic millimeters submit

Explanation:

Step1: Recall cone volume formula

The volume $V$ of a cone is $V = \frac{1}{3}\pi r^2 h$, where $r$ is the radius, $h$ is the height.

Step2: Identify given values

$r = 13.4$ mm, $h = 16.8$ mm

Step3: Calculate $r^2$

$r^2 = (13.4)^2 = 179.56$

Step4: Compute $\pi r^2 h$

$\pi \times 179.56 \times 16.8 \approx 3.1416 \times 179.56 \times 16.8 \approx 9572.07$

Step5: Apply the 1/3 factor

$V = \frac{1}{3} \times 9572.07 \approx 3190.69$

Answer:

3190.69 cubic millimeters