Question

find the volume of the cylinder. Use 3.14 for pi. the radius is 3 cm and the height slant is 8 cm and 6 cm is the height of the edge of the top rim.

Answer 1

To find the volume of the cylinder, we need the radius and the height of the cylinder itself. The formula for the volume \( V \) of a cylinder is:

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

where:
- \( r \) is the radius,
- \( h \) is the height.

You've given the radius \( r = 3 \) cm and a height of the edge of the top rim as 6 cm. However, the slant height (8 cm) indicates that we are dealing with a situation that normally describes a cone, or that there might be some confusion since a traditional cylinder has a straight vertical height.

If we take the vertical height \( h \) to be 6 cm (assuming this is the height of the cylinder), then we can calculate the volume as follows:

Given:
- \( r = 3 \) cm
- \( h = 6 \) cm
- \( \pi \approx 3.14 \)

Substituting these values into the volume formula:

\[
V = 3.14 \times (3^2) \times 6
\]

First, calculate \( 3^2 \):

\[
3^2 = 9
\]

Now substitute this back into the equation:

\[
V = 3.14 \times 9 \times 6
\]

Now calculate \( 9 \times 6 \):

\[
9 \times 6 = 54
\]

Now multiply by 3.14:

\[
V = 3.14 \times 54 = 169.56 \, \text{cm}^3
\]

So, the volume of the cylinder is approximately:

\[
\boxed{169.56 \, \text{cm}^3}
\]