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
hight 9cm radius 5cm

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 of the cone.

Given:

  • Height \( h = 9 \) cm
  • Radius \( r = 5 \) cm
  • Using \( \pi \approx 3.14 \)

Substituting the values into the formula:

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

Calculating \( (5)^2 \):

\[ (5)^2 = 25 \]

Now substitute back into the volume formula:

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

Calculating \( 25 \times 9 \):

\[ 25 \times 9 = 225 \]

Now substitute that in:

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

Calculating \( 3.14 \times 225 \):

\[ 3.14 \times 225 = 706.5 \]

Now divide by 3:

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

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

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