Question

Find the volume, in cubic inches, of a cone with a radius of 13 inches and a height of 27 inches. Round your answer to the nearest hundredth. Use 3.14 for pi. GET THE RIGHT ANSWER OR I WILL GET A 0 GRADE!!!

Answer 1

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.

Given:
- Radius \( r = 13 \) inches
- Height \( h = 27 \) inches
- Using \( \pi \approx 3.14 \)

Now, we can substitute the values into the formula:

1. Calculate \( r^2 \):

\[
r^2 = 13^2 = 169
\]

2. Now, plug in the values:

\[
V = \frac{1}{3} \times 3.14 \times 169 \times 27
\]

3. Calculate \( 3.14 \times 169 \):

\[
3.14 \times 169 = 530.66
\]

4. Now multiply by \( 27 \):

\[
530.66 \times 27 = 14383.82
\]

5. Finally, multiply by \( \frac{1}{3} \):

\[
V = \frac{14383.82}{3} \approx 4794.607
\]

So, rounding to the nearest hundredth, the volume of the cone is:

\[
\boxed{4794.61} \text{ cubic inches}
\]