Question

calculator
what is the approximate volume of the cone?
use 3.14 for $pi$.
○ 1206 $cm^3$
○ 2170 $cm^3$
○ 3260 $cm^3$
○ 6510 $cm^3$

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: Substitute given values

Here, $r = 12\ \text{cm}$, $h = 8\ \text{cm}$, and $\pi = 3.14$.
First calculate $r^2$: $12^2 = 144$

Step3: Compute intermediate product

Calculate $\pi r^2 h$: $3.14 \times 144 \times 8 = 3.14 \times 1152 = 3617.28$

Step4: Apply the 1/3 factor

$V = \frac{1}{3} \times 3617.28 = 1205.76$

Answer:

1206 cm³