the height is 9

and the radius is 5
What is the volume of the cone in cubic centimeters? Use 3.14 for pi. Round your answer to the nearest tenth. (1 point)
cubic centimeters

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

Given:

  • Height \( h = 9 \) cm
  • Radius \( r = 5 \) cm

Plugging in the values:

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

Calculating \( 5^2 \):

\[ 5^2 = 25 \]

Now substituting that back into the equation:

\[ V = \frac{1}{3} \times 3.14 \times 25 \times 9 \]

Calculating \( 25 \times 9 \):

\[ 25 \times 9 = 225 \]

Now substituting that back:

\[ V = \frac{1}{3} \times 3.14 \times 225 \]

Calculating \( 3.14 \times 225 \):

\[ 3.14 \times 225 = 706.5 \]

Now dividing by 3:

\[ V = \frac{706.5}{3} = 235.5 \]

Rounding to the nearest tenth, the volume of the cone is:

\[ \boxed{235.5} \text{ cubic centimeters} \]