Question

Which statements are true about finding the volume of the soup cans? Check all that apply.

A) The diameter is squared to find the area of the base of a cylinder.
B) The volume is the area of the base times the height.
C) Given the radius or the diameter, you can calculate the area of the base of a cylinder.
D) The height of a cylinder is the distance between the 2 parallel bases.
E) The radius is half the distance of the height.

Answer 1

the answers are B, C, and D.

Answer 2

The given item soup can is a cylinder.

The volume of the cylinder is given as :

`V=\pi r^(2) h`

Here 'h' is the height and 'r' is the radius.

So, the true statements are:

B) The volume is the area of the base times the height - The base of the cylinder is circular and the area of the circle is
`\pi r^(2)`, so the volume is the area of base multiplied by height.

C) Given the radius or the diameter, you can calculate the area of the base of a cylinder - Yes as the area is
`\pi r^(2)` where 'r' is the radius.

D) The height of a cylinder is the distance between the 2 parallel bases. Yes this is right.