Question

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

Explanation:

Step1: Identify radius and height

Radius $r = \frac{18}{2} = 9$ cm, height $h = 18$ cm

Step2: Recall cone volume formula

Volume formula: $V = \frac{1}{3}\pi r^2 h$

Step3: Substitute values into formula

$V = \frac{1}{3} \times \pi \times 9^2 \times 18$

Step4: Calculate step-by-step

First, $9^2 = 81$, then $\frac{1}{3} \times 18 = 6$, so $V = 6 \times 81 \times \pi = 486\pi$

Step5: Compute decimal and round

$486\pi \approx 486 \times 3.14159265 \approx 1526.81$

Answer:

1526.81 cubic centimeters