The coordinates a(0, 0), b(0, 4), c(3, 4) and d(3, 0) are graphed and connected together. what 3-dimensional shape will be created when this shape is rotated about the y-axis? provide an explanation and proof for your answer to receive full credit. (10 points)

cylinder

Step-by-step explanation:

The coordinates A(0, 0), B(0, 4), C(3, 4) and D(3, 0) are graphed and connected together (see attached diagram). Points A, B, C and D form rectangle with side AD on the x-axis and side AB on the y-axis.

When rectangle ABCD will be rotated about the y-axis, then the created shape will be the cylinder with circle base of the radius AD and height of the length AB (see attached diagram).

probability for j is 1/4

while

a is 1/6