Question

a cross-section is taken parallel to the bases of a general cylinder and has an area of 18. If the height of the cylinder is H, what is the volume of the cylinder? Explain your reasoning.

Answer 1

∵ the cross-section is parallel to the bases of the cylinder, then it is congruent to the bases thus, the area of the base of the cylinder is 18.
The volume of a general cylinder is the product of the area of the cylinder’s base times the height of the cylinder,
So the volume of the general cylinder is = 18 H