Find the Volume of the Solid Obtained by Rotating the Region

question 72

Short Answer

Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified axis.
$$y = 5 \left( x ^ { 2 } + 4 \right) , y = 5 \left( 12 - x ^ { 2 } \right) ; \text { about } y = - 5$$

---

Definitions:

Mechanics

The conventions of language that ensure clarity and correctness in writing, including spelling, punctuation, and grammar.

Proofreading Stage

The final review process of a text to correct typographical, grammatical, spelling, and formatting errors.

Business Report

A structured document that provides information and analysis to support business decisions or present research findings.

Visual Appeal

The attractiveness or aesthetically pleasing qualities of an object, document, or design.