What is the volume of the cone in cubic centimeters? Use 3.14 for

pi. Round your answer to the nearest tenth. (1 point) r is 5cm and there is a 9

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.

You provided \( r = 5 \) cm and \( h = 9 \) cm. Plugging these values into the formula gives:

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

Calculating \( (5)^2 \):

\[ (5)^2 = 25 \]

Now substituting back into the formula:

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

Calculating \( 25 \times 9 \):

\[ 25 \times 9 = 225 \]

Now substituting again:

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

Calculating \( 3.14 \times 225 \):

\[ 3.14 \times 225 = 706.5 \]

Now divide by 3:

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

Therefore, the volume of the cone is approximately:

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