Question

Find the volume of the cylinder below. Use the approximation 3.14 for pi. 15cm 5cm

Answer 1

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

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

where \( V \) is the volume, \( r \) is the radius, and \( h \) is the height of the cylinder.

From your message, it seems like the height of the cylinder is 15 cm, and the diameter is 5 cm. To find the radius, you divide the diameter by 2:

\[
r = \frac{d}{2} = \frac{5 \, \text{cm}}{2} = 2.5 \, \text{cm}
\]

Now you can substitute the values into the volume formula:

\[
V = 3.14 \times (2.5 \, \text{cm})^2 \times 15 \, \text{cm}
\]

Calculating \( (2.5 \, \text{cm})^2 \):

\[
(2.5 \, \text{cm})^2 = 6.25 \, \text{cm}^2
\]

Now substitute that back into the volume formula:

\[
V = 3.14 \times 6.25 \, \text{cm}^2 \times 15 \, \text{cm}
\]

Calculating \( 3.14 \times 6.25 \):

\[
3.14 \times 6.25 = 19.625
\]

Now multiply that by 15 cm:

\[
V = 19.625 \times 15 \, \text{cm} = 294.375 \, \text{cm}^3
\]

Thus, the volume of the cylinder is approximately:

\[
\boxed{294.375 \, \text{cm}^3}
\]