Use Spherical Coordinates to Find the Volume of the Solid $x ^ { 2 } + y ^ { 2 } + z ^ { 2 } = 16$

question 1

Short Answer

Use spherical coordinates to find the volume of the solid that lies within the sphere $x ^ { 2 } + y ^ { 2 } + z ^ { 2 } = 16$ above the xy-plane and below the cone $z = \sqrt { x ^ { 2 } + y ^ { 2 } }$ . Round the answer to two decimal places.

---

Definitions:

Restore Button

A graphical user interface feature that allows users to return a window to its previous size and position.

Title Bar

The section at the top of a window displaying the name of the program and, often, the document name or other information.

Default Font

The pre-set style and size of text adopted by a software application or document unless changed by the user.

Headline

A heading at the top of an article or page in a newspaper or magazine, or a main title in any form of media, designed to grab attention by summarizing the content that follows.