Question

what is the volume of this cone? round your answer to the nearest hundredth. 19 cm 5 cm cubic centimeters submit

Explanation:

Step1: Recall cone volume formula

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

Step2: Identify given values

Here, $r = 5$ cm, $h = 19$ cm. Substitute into the formula:
$V = \frac{1}{3} \times \pi \times 5^2 \times 19$

Step3: Calculate the expression

First compute $5^2 = 25$, then $25 \times 19 = 475$. So:
$V = \frac{475}{3} \times \pi \approx 158.333 \times 3.1416$
$V \approx 497.42$

Answer:

497.42 cubic centimeters