Answer:
15.49 inches
Step-by-step explanation:
Volume of a cylinder is given by
[tex]V=\pi r^{2}h[/tex]
Making h the subject of the formula then
[tex]h=\frac {V}{\pi r^{2}}[/tex]
Where h is the height, V is volume and r is radius. Substituting 24.6 inches for r and 29468 cubic inches for V then
[tex]h=\frac {29468}{\pi 24.6^{2}}=15.493723673378\ in\approx 15.49\ in[/tex]
Therefore, the height is approximately 15.49 inches
