Let \( V \) be the volume of the cylinder and \( h \) be the height of the cylinder.
Given \( V = 1936 \, \text{cm}^3 \) and the diameter \( d = 21 \, \text{cm} \), thus the radius \( r = \frac{d}{2} = \frac{21}{2} \, \text{cm} \).
To find the height \( h \), use the formula for the volume of a cylinder: \( V = \pi r^2 h \).
Rearrange the formula to solve for \( h \): \( h = \frac{V}{\pi r^2} \).
Substitute \( V \) and \( r \) into the equation: \( h = \frac{1936}{\pi (\frac{21}{2})^2} \).
Calculate \( h \) to find the height of the cylinder.
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