What is the volume of a cone with a radius of 4 ft. and a height of 9 ft.? Let π=3.14

.(1 point)

1 answer

The volume \( V \) of a cone can be calculated using the formula:

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

where \( r \) is the radius and \( h \) is the height.

Given:

  • Radius \( r = 4 \) ft
  • Height \( h = 9 \) ft
  • \( \pi = 3.14 \)

Now plug in the values:

\[ V = \frac{1}{3} \times 3.14 \times (4)^2 \times 9 \]

Calculating \( (4)^2 \):

\[ (4)^2 = 16 \]

Now plug this back into the formula:

\[ V = \frac{1}{3} \times 3.14 \times 16 \times 9 \]

Calculating \( 16 \times 9 \):

\[ 16 \times 9 = 144 \]

Now plug it back in:

\[ V = \frac{1}{3} \times 3.14 \times 144 \]

Now calculate \( 3.14 \times 144 \):

\[ 3.14 \times 144 = 451.68 \]

Now divide by 3:

\[ V = \frac{451.68}{3} \approx 150.56 \]

Therefore, the volume of the cone is approximately \( 150.56 \) cubic feet.