Question

what is the volume of this cone? round your answer to the nearest hundredth. 5 m 5 m cubic meters 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 and $h$ is the height.

Step2: Identify given values

From the diagram, $r = 5\ \text{m}$, $h = 5\ \text{m}$.

Step3: Substitute values into formula

$$ V = \frac{1}{3} \times \pi \times (5)^2 \times 5 $$

Step4: Calculate the expression

First compute $5^2 = 25$, then $25 \times 5 = 125$. So:

$$ V = \frac{125}{3}\pi \approx \frac{125}{3} \times 3.1416 \approx 130.8997 $$

Step5: Round to nearest hundredth

Round $130.8997$ to two decimal places.

Answer:

130.90 cubic meters