Answer:
The volume of the solid = π²
Step-by-step explanation:
As per the given data of the questions,
The diameter of each disk is
D = 2 sin(x) - 2 cos(x)
So its radius is
R = sin(x) - cos(x).
The area of each disk is
Now,
Integrate from , we get volume:
After integrate without limit we get
Now after putting the limit, we get
V = π²
Hence, the required volume of the solid = π²
In a parallelogram, the opposite angles will be congruent to each other.
In this parallelogram, angles B and C are congruent, and angles A and D are congruent.
We will work on angles B and C first. Set the two angles to equal each other:
Subtract 6 from both sides:
Subtract 6x from both sides:
Divide both sides by 6 to get x by itself:
x will equal 10.
Set angles A and D to equal each other:
Divide both sides by 3 to get y by itself:
y will equal 18.
The x and y values that make this quadrilateral a parallelogram will be x = 10, and y = 18.