[tex]\sf{Volume =\frac{1}{3}\times\pi\times r^2 \times h}[/tex]
diameter is 12, that means the radius or r is 6.
h is height which is 16
Plugging that in to the formula you get:
[tex]\sf{Volume =\frac{1}{3}\times\pi\times 6^2 \times 16}[/tex]
Simplify that:
[tex]\sf{Volume =\frac{1}{3}\times\pi\times 36 \times 16}[/tex]
Simplify it more:
[tex]\sf{Volume = \pi \times 12\times 16}[/tex]
Simplify it more:
[tex]\sf{Volume =\pi\times192 }[/tex]
Replace pi with 3.14 and solve
[tex]\sf{Volume = 3.14\times192 }[/tex]
Your final answer is:
[tex]\Huge{\boxed{\bf{602.88}}}[/tex]