Use the image to answer the question.

What is the volume of the cone? Use 3.14 for pi.
(1 point)
423.9 cubic inches
47.1 cubic inches
942 cubic inches
235.5 cubic inches so the r is 5 and the h is 9

1 answer

To find the volume of a cone, you can use the formula:

\[ V = \frac{1}{3} \pi r^2 h \]

where:

  • \( V \) is the volume,
  • \( r \) is the radius,
  • \( h \) is the height, and
  • \( \pi \) is approximately \( 3.14 \).

Given:

  • \( r = 5 \) inches,
  • \( h = 9 \) inches.

Now, substitute the values into the formula:

\[ V = \frac{1}{3} \times 3.14 \times (5)^2 \times 9 \] \[ V = \frac{1}{3} \times 3.14 \times 25 \times 9 \] \[ V = \frac{1}{3} \times 3.14 \times 225 \] \[ V = \frac{1}{3} \times 706.5 \] \[ V = 235.5 \text{ cubic inches} \]

So, the volume of the cone is 235.5 cubic inches.