Question

15cm 5 cm find the volume of the cylinder below use the approximation 3.14 for pi

Answer 1

To calculate the volume of a cylinder, you can use the formula:

\[
V = \pi r^2 h
\]

where:
- \( V \) is the volume,
- \( r \) is the radius of the cylinder's base,
- \( h \) is the height of the cylinder.

In this case, you've provided two measurements: 15 cm and 5 cm. It seems appropriate to assume that one of these measurements is the height and the other is the diameter of the base.

1. If 15 cm is the height (h) and 5 cm is the diameter, then we first find the radius:
- The radius \( r \) is half of the diameter:
\[
r = \frac{5 \text{ cm}}{2} = 2.5 \text{ cm}
\]

2. Now we can plug the values into the volume formula:
\[
V = \pi (2.5 \text{ cm})^2 (15 \text{ cm})
\]

3. Calculate \( (2.5)^2 \):
\[
(2.5)^2 = 6.25
\]

4. Now substitute this back into the volume formula:
\[
V = 3.14 \times 6.25 \times 15
\]

5. Calculate \( 3.14 \times 6.25 \):
\[
3.14 \times 6.25 = 19.625
\]

6. Now multiply that result by 15:
\[
V = 19.625 \times 15 = 294.375
\]

Therefore, the volume of the cylinder is approximately:

\[
V \approx 294.38 \text{ cm}^3
\]

Thus, the volume of the cylinder is approximately \( 294.38 \text{ cm}^3 \).