Question

What is the volume of the cone in cubic centimeters? Use 3.14 for pi. Round your answer to the nearest tenth.
height=9
radius=5

Answer 1

To find the volume of a cone, you can use the formula:

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

where:
- \( V \) = volume
- \( r \) = radius
- \( h \) = height
- \( \pi \) = 3.14 (as given)

In this case, the height \( h \) is 9 cm and the radius \( r \) is 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 substitute that 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:

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

Calculating \( 3.14 \times 225 \):

\[
3.14 \times 225 = 706.5
\]

Now divide by 3:

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

Thus, the volume of the cone is approximately **235.5 cubic centimeters** when rounded to the nearest tenth.