We need to find the volume of a cone with diameter 12 cm and height 12 cm. We need to round the answer to the nearest tenth.

1. Problem Description

We need to find the volume of a cone with diameter 12 cm and height 12 cm. We need to round the answer to the nearest tenth.

2. Solution Steps

The formula for 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.

In our problem, the diameter is 12 cm, so the radius $r$ is half of the diameter:

$r = \frac{12}{2} = 6$ cm

The height $h$ is given as 12 cm.

Now, we can plug these values into the formula:

$V = \frac{1}{3} \pi (6^2) (12)$

$V = \frac{1}{3} \pi (36) (12)$

$V = \frac{1}{3} \pi (432)$

$V = 144 \pi$

Using a calculator and the $\pi$ button, we have:

$V \approx 144 \times 3.14159265359$

$V \approx 452.389342117$

Rounding to the nearest tenth, we get:

$V \approx 452.4$ cm$^3$

3. Final Answer

452.4