Se polar coordinates to find the volume of the given solid. the solid above the xy-plane that lies below the ellipsoid 4x2 + 4y2 + z2 = 64 but inside the cylinder x2 + y2 = 4

The volume of the solid inside the cylinder and the ellipsoid and above the xy-plane is cubic units.

The volume of a solid in cylindrical coordinates () can be determined by the following triple integral:

(1)

The solid is constrained by the following equations in cylindrical coordinates:

Cylinder

(2)

Ellipsoid

(3)

The integration limits can be identified by using the following intervals:

, ,

And the triple integral is the following form:

Now we proceed to integrate the expression thrice:

The volume of the solid inside the cylinder and the ellipsoid and above the xy-plane is cubic units.

We kindly invite to check this question on triple integrals: link

median is the value separating the higher half of a data sample, a population or probablity distribution from the lower half.

step-by-step explanation:

say you have 3,8,7,3,1,9,8 order them from lowest to highest

if orderd it would be 1,3,3,7,8,8,9 now you take away from the lowest and the highest until you end up in the middle.

so you would remove the 1 and 9 leaving you with 5 digits remaining

when you've reached the middle that would be your answer so in this case the answer is 7

if there were two numbers left say 7 and 5 you'd and them together so 12 then divide by 2 witch would equal 6 so the answer would be 6

good luck on that project hoped i you at all