can you tell me the volume of a cone with a radius of 12 and a height of 60 use 3.14

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 of the base of the cone,
  • \( h \) is the height of the cone,
  • \( \pi \) is approximately 3.14.

Given:

  • \( r = 12 \)
  • \( h = 60 \)

Substituting the values into the formula:

\[ V = \frac{1}{3} \times 3.14 \times (12^2) \times 60 \]

First, calculate \( 12^2 \):

\[ 12^2 = 144 \]

Now substitute that back in:

\[ V = \frac{1}{3} \times 3.14 \times 144 \times 60 \]

Now calculate \( 144 \times 60 \):

\[ 144 \times 60 = 8640 \]

So now we have:

\[ V = \frac{1}{3} \times 3.14 \times 8640 \]

Now calculate \( 3.14 \times 8640 \):

\[ 3.14 \times 8640 = 27149.6 \]

Now, divide that by 3:

\[ V = \frac{27149.6}{3} \approx 9049.87 \]

Thus, the volume of the cone is approximately \( 9049.87 \) cubic units.