Question

Which expression can be used to find the volume of the cylinder, in cubic centimeters?

Answer 1

(144π)(30), because the area of the circular base is multiplied by the height of the cylinder to find the volume.

Step-by-step explanation:

The volume of a cylinder can be calculated as the area of the circular base multiplied by its height. So, the volume of the cylinder is:

`V=(\pi\cdot r^2)(h)`

Where πr² is the area of the circular base, h is the height and r is the radius.

The radius is half of the diameter, so the radius of the circular base is:

24 cm / 2 = 12 cm

Then, the volume of the cylinder is equal to:

`\begin{gathered} V=(\pi\cdot12^2)(30) \\ V=(\pi\cdot144)(30)_{} \\ V=(144\pi)(30) \end{gathered}`

Therefore, the answer is (144π)(30), because the area of the circular base is multiplied by the height of the cylinder to find the volume.