Question

An oblique cylinder with a base of radius 2 units is shown. The top
of the cylinder can be obtained by translating the base by the directed line segment
AB which has length 16 units. The segment AB forms a 30° angle with the plane of
the base. What is the volume of the cylinder?

Answer 1

The volume of the cylinder is the amount of space on it

The volume of the oblique cylinder is 174.19 cubic units

How to determine the volume of the cylinder?

The given parameters are:

AB = 16 units

Radius (r) = 2 units

$\theta = 30^o$

Start  by calculating the height (h) using:

$h = 16 * \cos(30^o)$

This gives

$h = 13.86$

The volume of the cylinder is then calculated as:

$V = \pi r^2 h$

This gives

$V = 3.142 * 2^2 * 13.86$

$V = 174.19248$

Approximate

$V = 174.19$

Hence, the volume of the oblique cylinder is 174.19 cubic units

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