Consider the given equations:
(Equation 1)
(Equation 2)
(Equation 3)
Adding equations 1 and 3, we get
So, we get 
(Equation 4)
Multiplying equation 3 by '6', we get
(Equation 5)
Subtracting equation 5 from equation 2, we get
(Equation 6)
Multiplying equation 4 by '21' and adding it to equation 6, we get
So, z = -5
Since, 
So, y=-5
Now,
So, x = -4
Therefore, x = -4, y= -5 and z= -5 are the solutions to the given equations.
Answer:
Solution : Volume = 96/5π
Step-by-step explanation:
If we slice at an arbitrary height y, we get a circular disk with radius x, where x = y^(1/3). So the area of a cross section through y should be:
A(y) = πx^2 = π(y^(1/3))^2 = πy^(2/3)
And now since the solid lies between y = 0, and y = 8, it's volume should be:
V = ∫⁸₀ A(y)dy (in other words ∫ A(y)dy on the interval [0 to 8])
=> π ∫⁸₀ y^(2/3)dy
=> π[3/5 * y^(5/3)]⁸₀
=> 3/5π(³√8)⁵
=> 3/5π2^5
=> 96/5π ✓
A because the difference between them is 1 but started at 2 and every time u add an extra 1
The answer to this depends on the angle at which they intersect. If it intersects<span> the cylinder perpendicular to the axis then a circle is formed. </span><span>If the plane intersects the cylinder at an angle, it will form an ellipse. This will be true until the plan is parallel with the axis of the cylinder. At that point, the surface will become a rectangle.</span>
