Answer:
First box:6 inches
Second box: 5 inches
Step-by-step explanation:
[tex]V=\pi r^2h[/tex]
Divide both sides by [tex]\pi r^2[/tex]
[tex]h=\frac{V}{\pi r^2}[/tex]
First box: [tex]h=\frac{96\pi }{\pi(4)^2 } =\frac{96\pi }{16\pi } =6[/tex] inches
Second box: [tex]h=\frac{31.25\pi }{\pi (2.5)^{2} } =\frac{31.25\pi }{6.25\pi } =5[/tex] inches
