1 / 10
00
True or False?
If two cylinders have different heights and the same radius, Cavalieri's principle implies they have different volumes only if their cross-sectional areas are different at every height.
True
False
According to Cavalieri's principle, if two cylinders have the same base area and the same height, their volumes are different.
If two cylinders with different radii and different heights have equal cross-sectional areas at every height, Cavalieri's principle implies they have different volumes.
According to Cavalieri's principle, if two cylinders have the same height and the same radius, they have the same volume.
Two cylinders with different radii and different heights will have the same volume if their cross-sectional areas are equal at every height according to Cavalieri's principle.
For two cylinders with the same radius but different heights, Cavalieri's principle implies they have the same volume if their cross-sectional areas are equal at every height.
Two cylindrical pipes with different radii but the same length will have the same volume if their cross-sectional areas are equal according to Cavalieri's principle.
Two cylinders with different radii and different heights will have the same volume if their cross-sectional areas are different at every height according to Cavalieri's principle.
Two cylinders with different heights but the same cross-sectional area at every height will have different volumes according to Cavalieri's principle.
According to Cavalieri's principle, if two cylinders have different base areas and different heights, they will have the same volume.
It is done.