What is the volume of the cone? Use 3.14 for pi. (1 point) Responses 942 cubic inches 942 cubic inches 47.1 cubic inches 47.1 cubic inches 423.9 cubic inches 423.9 cubic inches 235.5 cubic inches

The cones height is 9 in. and the radius is 5 in.

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, and \( h \) is the height.

In your case:

  • The radius \( r = 5 \) inches
  • The height \( h = 9 \) inches
  • Using \( \pi \approx 3.14 \)

Now plug in the values into the formula:

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

So, the volume of the cone is \( 235.5 \) cubic inches.