Which of the following statement are true/false? Give reasons for your answers. 1.Every cylinder has a circular base. 2. Every conicoid has a unique centre.

1 Answer
Feb 1, 2018

1) True.
2) False

Explanation:

1) Ever cylinder does have a circular base.
You can look at the area and volume equations for a cylinder and notice πr in there which is due to the circular bases.
There is no change in the shape of the bases. It would be a new shape if there was.

2) Not every conicoid has a unique center.
A conicoid has a central conicoid if it has a unique center, it is non central conicoid if it does not has a center or has more than one center.