Step-by-step explanation:
Step 1: Make a formula
[tex]\frac{diameter_1}{volume_1} = \frac{diameter_2}{volume_2}[/tex]
[tex]\frac{2}{1600} = \frac{3}{x}[/tex]
Step 2: Cross multiply
[tex]2(x) = 3(1600)[/tex]
[tex]2x=4800[/tex]
Step 3: Divide both sides by 2
[tex]2x/2 = 4800/2[/tex]
[tex]x = 2400[/tex]
Answer: The volume of the larger cylinder is 2400 cm^3
