Question

a cylinder with the same volume as an cylinders height 4 and diameter of

Answer 1

To find the volume of a cylinder, we 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.

You mentioned the height of the first cylinder is 4, but did not specify the diameter. The diameter (\( d \)) is related to the radius (\( r \)) by:

\[
r = \frac{d}{2}
\]

Once you provide the diameter, we can use it to calculate the volume of the cylinder with height 4.

For example, if the diameter is \( d \), the radius \( r \) would be \( \frac{d}{2} \), and the volume would be calculated as follows:

\[
V = \pi \left(\frac{d}{2}\right)^2 \times 4
\]
\[
V = \pi \left(\frac{d^2}{4}\right) \times 4
\]
\[
V = \pi d^2
\]

Please provide the diameter, and I can help with further calculations or comparisons with other cylinders.