Give the dimensions of a rectangular prism and of a cylinder so that the two figures have approximately the same volume.
Which of the following sets of dimensions satisfy the criterion?
Hint
A rectangular prism with length 4.9 cm, width 4.3 cm, and height 3.4 cm, and a cylinder with radius 2 cm and height 6.05 cm
A rectangular prism with length 5.2 cm, width 4.3 cm, and height 3.4 cm, and a cylinder with radius 2 cm and height 6.05 cm
A rectangular prism with length 6.2 cm, width 9.5 cm, and height 2.7 cm, and a cylinder with radius 5 cm and height 6.05 cm
A rectangular prism with length 6.2 cm, width 9.3 cm, and height 3.4 cm, and a cylinder with radius 2 cm and height 6.05 cm

10

Step-by-step explanation:

set each factor equal to 0

4x-3 = 0

2x-1 = 0

solve for x.

4x-3=0

4x=3

x= 3/4

solve for x. 

2x-1= 0

2x= 1

x= 1/2

eventually after a few more steps, your answer should be 1/2 is less than or equal to x and 3/4 is greater than or equal to x

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is