Use Spherical Coordinate to Find the Volume Above the Cone $z ^ { 2 } = x ^ { 2 } + y ^ { 2 }$

question 74

Short Answer

Use spherical coordinate to find the volume above the cone $z ^ { 2 } = x ^ { 2 } + y ^ { 2 }$ and inside sphere $x ^ { 2 } + y ^ { 2 } + z ^ { 2 } = 2 a z$ .

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Definitions:

Contra-

A prefix meaning against, opposite or contrasting.

Endo-

A prefix meaning within or inside, used in medical and scientific terms to denote inner structures or conditions.

Inter-

A prefix meaning 'between' or 'among'.

Ex-

A prefix often denoting out of, from, or not having something.