Question

an oblique cylinder is shown. which represents the volume of the cylinder, in cubic units? 120π 130π 300π 325π

Explanation:

Step1: Recall the volume formula for a cylinder (including oblique cylinders)

The volume \( V \) of a cylinder (oblique or right) is given by the formula \( V=\pi r^{2}h \), where \( r \) is the radius of the base and \( h \) is the height (the perpendicular distance between the two bases).

Step2: Identify the radius and height from the diagram

From the diagram, the radius \( r = 5 \) units and the height \( h=12 \) units (since the height is the perpendicular distance, which is 12, not the slant length 13).

Step3: Substitute the values into the formula

Substitute \( r = 5 \) and \( h = 12 \) into the volume formula:
\[

$$\begin{align*} V&=\pi\times(5)^{2}\times12\\ &=\pi\times25\times12\\ &=\pi\times300\\ & = 300\pi \end{align*}$$

\]

Answer:

\( 300\pi \) (corresponding to the option "300π")