<h2>
[A] Plane S contains points B and E.</h2>
False
As indicated in Figure A below, Plane S contains only point B (remarked in red). Point E (remarked in blue) lies on plane R.
<h2>
[B] The line containing points A and B lies entirely in plane T.</h2>
True
As indicated in Figure B below, the line containing points A and B lies entirely in plane T. That line has been remarked in red and it is obvious that lies on plane T.
<h2>
[C] Line v intersects lines x and y at the same point.</h2>
False
As indicated in Figure C below, line v intersects lines x and y, but line x in intersected at point B while line y (remarked in red) is intersected at point A (remarked in blue), and they are two different points, not the same.
<h2>
[D] Line z intersects plane S at point C.</h2>
True
As indicated in Figure D below, line z that has been remarked in yellow, intersects plane S at point C that has been remarked in blue.
<h2>
[E] Planes R and T intersect at line y.</h2>
True
As indicated in Figure E below, planes R and T intersect at line y. The line of intersection has been remarked in red.
Answer:
Glass A is too small, Glass B is large enough and Glass C is too small ....
Step-by-step explanation:
Glasses are cylindrical in shape. Thus the formula is:
V = π r² h
For Glass A:
r = d/2 = 3.5/2
r = 1.75
h = 4 inches
Now substitute the values in the formula:
V= 3.14*(1.75)^2 * 4
V= 3.14*3.0625*4
V= 38.465 in.³ < 50in.³
For Glass B:
V = π r² h
where h = 5 inches
r = 1.9 inches
Plug the values in the formula:
V=3.14*(1.9)^2*5
V= 56.677 in³ > 50in³
For Glass C:
V = π r² h
where h=6 inches
r = 1.5 inches
Plug the values in the formula:
V= 3.14*(1.5)^2*6
V= 42.39 in³ < 50 in³
Therefore Glass A is too small, Glass B is large enough and Glass C is too small ....
45.136 is the answer I got