Find the Volume of the Solid Obtained by Rotating the Region

question 63

Short Answer

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

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Definitions:

Direct Method

An approach to preparing the cash flow statement where actual cash flows from operating activities are disclosed, as opposed to the indirect method which adjusts net income for non-cash transactions.

Operating Activities

Activities related to the core business functions of a company, including production, sales, and delivery of services, as reflected in its cash flow.

Accrual Basis

An accounting method where revenue and expenses are recorded when they are earned or incurred, regardless of when cash transactions occur.

Cash Basis

An accounting method where revenues and expenses are recognized only when cash is received or paid.