How does the volume of a cylinder with a radius of 4 units and a height of 12 units compare to the volume of a rectangular prism with dimensions 8 units x 8 units x 6 units?

A. You cannot compare the volumes of different shapes.
B. The volume of the cylinder is smaller than the volume of the prism.
C. The volume of the cylinder is greater than the the volume of the prism.
D. The volume of the cylinder is the same as the volume of the prism.

B

Step-by-step explanation:

the rectangle has a bigger volume 4X12=48

8X8X6=384

option 2 is correct.

step-by-step explanation:

we are given two inequality equation

x+y> 5 and -3x+2y< -2

first we draw the graph of both function using t-table method

equation: x+y> 5

for x=0, y=5

for x=-5, y=0

table:

x   :   0     5

y   :   5     0

test point (0,0) , 0> 5

false

equation: -3x+2y< -2

for x=0, y=-1

for x=2, y=4

table:

x   :   0     2

y   : -1       4

test point (0,0) , 0< -2

true

now we draw the graph. see the attachment for graph.

common region would be solution set.

option 2 is correct.