Question

what is the volume of this cone? round your answer to the nearest hundredth. 18.6 m 16 m cubic meters submit

Explanation:

Step1: Find the cone's radius

The diameter is 16 m, so radius $r = \frac{16}{2} = 8$ m

Step2: Recall cone volume formula

The formula for cone volume is $V = \frac{1}{3}\pi r^2 h$

Step3: Substitute values into formula

Substitute $r=8$, $h=18.6$:
$V = \frac{1}{3} \times \pi \times 8^2 \times 18.6$

Step4: Calculate the volume

First compute $8^2=64$, then $64 \times 18.6 = 1190.4$
$V = \frac{1}{3} \times \pi \times 1190.4 \approx \frac{1}{3} \times 3739.545 = 1246.515$

Step5: Round to nearest hundredth

Round 1246.515 to two decimal places: $1246.52$

Answer:

1246.52 cubic meters