62.5/100 and 0.625 are both equivalent.
We are going to need to know the formula for the lateral surface area and volume of a cylinder in order to find our answers. Below are the equations:


is the height
is the radius
Using these formulas, we can solve these problems.


The tangent meets the radius at a right angle.
We use (the converse of) the Pythagorean Theorem to check:

Not a right triangle
Answer: FALSE
(2*length)+(2*width)=perimeter
length=4+2w
(2(4+2w))+(2(w))=74
74=(8+4w)+(2w)
74=6w+8
66=6w
w=11
length=4+2(11)
l=4+22
l=26