Find the Volume of the Region Above the Paraboloid $z = x ^ { 2 } + y ^ { 2 }$

question 83

Short Answer

Find the volume of the region above the paraboloid $z = x ^ { 2 } + y ^ { 2 }$ and below the hemisphere $z - 9 = \sqrt { 9 - x ^ { 2 } - y ^ { 2 } }$ .

---

Definitions:

Proportionate Consolidation

A method of accounting for a business partnership where the income, expenses, assets, and liabilities of the partnership are combined in proportion to the owning company's percentage of interest in the venture.

Equity Method

An accounting technique used to record investments in other entities, where the investment is initially recorded at cost and adjusted thereafter for the post-acquisition change in the investor’s share of investee’s net assets.

Unit Trusts

Investment funds that allow investors to pool their money together in a single fund, which is managed by a fund manager.

Held for Sale

A classification for assets or disposal groups that are immediately available for sale in their current condition and for which sale is highly probable.