Question

what is the volume of this cone? round your answer to the nearest hundredth. 15 ft 13 ft blank cubic feet 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 radius, $h$ is height.

Step2: Identify given values

$r = 13$ ft, $h = 15$ ft, $\pi \approx 3.1416$

Step3: Calculate $r^2$

$r^2 = 13^2 = 169$

Step4: Substitute into formula

$V = \frac{1}{3} \times 3.1416 \times 169 \times 15$

Step5: Simplify the expression

First compute $15 \times \frac{1}{3} = 5$, then $V = 3.1416 \times 169 \times 5 = 3.1416 \times 845$

Step6: Compute final value

$3.1416 \times 845 \approx 2654.65$

Answer:

2654.65 cubic feet