SOLUTION
(a) The volume V of a cylinder is given as
[tex]\begin{gathered} V=\pi r^2h \\ where\text{ V = volume } \\ r=radius=12m \\ h=height=15m \end{gathered}[/tex]
The volume is
[tex]\begin{gathered} V=\pi\times12^2\times15 \\ V=\pi\times144\times15 \\ V=6785.84m^3 \end{gathered}[/tex]
Hence the answer is 6785.84 cubic meter to the nearest hundredth
(b) the radius r = 2.1 cm and height h = 5.8cm
The volume becomes
[tex]\begin{gathered} V=\pi\times2.1^2\times5.8 \\ V=\pi\times4.41\times5.8 \\ V=80.355657 \\ V=80.36cm^3 \end{gathered}[/tex]
Hence the answer is 80.36 cubic centimeters to the nearest hundredth
