Question

David has asked to find the volume of the cone. Use 3.14 as pi.
Radius is 5 cm and height is 13 cm.

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

Given:
- Radius \( r = 5 \) cm
- Height \( h = 13 \) cm

Now, plug the values into the formula:

\[
V = \frac{1}{3} \times 3.14 \times (5)^2 \times 13
\]

Calculate \( (5)^2 \):

\[
(5)^2 = 25
\]

Now substitute that back into the formula:

\[
V = \frac{1}{3} \times 3.14 \times 25 \times 13
\]

Next, calculate \( 25 \times 13 \):

\[
25 \times 13 = 325
\]

Now substitute this value:

\[
V = \frac{1}{3} \times 3.14 \times 325
\]

Next, calculate \( 3.14 \times 325 \):

\[
3.14 \times 325 = 1029.5
\]

Now substitute this value:

\[
V = \frac{1}{3} \times 1029.5
\]

Now divide by 3:

\[
V = 343.1667 \text{ (approximately)}
\]

So, the volume of the cone is approximately:

\[
V \approx 343.17 \text{ cm}^3
\]