Aright cylinder and an oblique cylinder have the same radius and the same height. how do the volumes of the two cylinders compare?
a.
the volumes are the same, based on cavalieri's principle.
b.
the volumes are not the same, because cavalieri's principle does not apply to oblique solids.
c.
the volumes are not the same, because the two solids do not have the same cross-sectional area at every level parallel to the bases.
d.
the volumes are not the same, because an oblique solid has less volume thanits corresponding right solid with the same height.

Option A is the answer.

Step-by-step explanation:

In a right circular cylinder the lateral surface is perpendicular to the end planes. But in an oblique cylinder, the two circular end planes are parallel to each other, but are not perpendicular to the end planes.

The volume of a right cylinder is given by where r is the radius and h is the height.

The volume of opaque cylinder is also

So, when the formulas are same and the dimensions are same, then the volumes are also same.

Hence, option A is the answer.

Cavalieri's principle states that - if two solids have equal height and the sections made by planes parallel to the bases and at equal distance from their respective bases are always equal, then the volumes of the two solids are equal.

This principle applies to oblique solids as well.

explanation:

step-by-step explanation:

- (2, -7)

- lines r and s and lines t and u must be parallel