EXPLANATION
The volume of a cylinder is given by the following relationship:
[tex]\text{Volume}_{\text{cylinder}}=\pi\cdot h\cdot r^2[/tex]Where h is the height, r is the radius.
As the radius is equal to the diameter/2 , the radius is 9 units.
[tex]\text{Volume}_{\text{cylinder}}=\pi\cdot19\cdot(9)^2[/tex]Solving the power:
[tex]\text{Volume}_{\text{cylinder}}=\pi\cdot19\cdot81[/tex]Mutiplying numbers:
[tex]\text{Volume}_{cylin\text{der}}=1539\pi[/tex]Simplifying:
[tex]\text{Volume}_{\text{cylinder}}\approx4835\text{cm}^3[/tex]