Consider the level surface given by
x2−y2+z2=2. draw a picture for the following:
1. slice for y=2
2. slice for x=1
3. slice for y=0
4. slice for x=2

First of all, each slice represents an intersecting plane at that level.

For example, y = 2 is a plane that passes thorugh that level and cuts the volume given by

We replace this value in the given volume.

So, results in a circumference with radius , because a circumference is defind as . (On plane XY).

We repeat the process.

It forms a horizontal hyperbola on plane ZY.

Another circle with radius of on plane XZ.

It forms a hyporbola on plane YZ.

answer: i'm not sure

step-by-step explanation:

80π/3 or about 83.775

step-by-step explanation:

since a cone is 1/3 of a cylinder, we need to find the base's area. since area = πr^2, we get 16π. then, multiplying this by 5, we get 80π. dividing by 3, since the cone's volume is 1/3 of that of a cylinder's, we get 80π/3.

hope this !