Use Cylindrical Coordinates to Evaluate $\int _ { - 2 } ^ { 2 } \int _ { 0 } ^ { \sqrt { 4 - x ^ { 2 } } } \int _ { 0 } ^ { \sqrt { 16 - x ^ { 2 } - y ^ { 2 } } } z d z d y d x$

question 139

Multiple Choice

Use cylindrical coordinates to evaluate $\int _ { - 2 } ^ { 2 } \int _ { 0 } ^ { \sqrt { 4 - x ^ { 2 } } } \int _ { 0 } ^ { \sqrt { 16 - x ^ { 2 } - y ^ { 2 } } } z d z d y d x$ .
Select the correct answer.

• A) \(12 \pi\)
• B) \(112 \pi\)
• C) \(\frac { 3 } { 2 } \pi\)
• D) \(14 \pi\)

---

Definitions:

Paid-In Capital

The total amount of capital provided to a company by its shareholders through the purchase of stock above its par value.

Cash Dividends

Distribution of financial gains by a company to its shareholders, commonly from net profits.

Market Price

Market price is the current price at which an asset or service is traded in the open market, reflecting what buyers are willing to pay and sellers are willing to accept.

Creditors

Individuals or entities to whom a debt is owed by another party, often tied to credit transactions or loan agreements.