Find the Mass of the Solid $S$ Bounded by the Paraboloid $z = 6 x ^ { 2 } + 6 y ^ { 2 }$

question 44

Multiple Choice

Find the mass of the solid $S$ bounded by the paraboloid $z = 6 x ^ { 2 } + 6 y ^ { 2 }$ and the plane $z = 5$ if $S$ has constant density 3 . Select the correct answer.

• A) \(16.25\)
• B) \(15.07\)
• C) \(24.91\)
• D) \(13.92\)
• E) \(19.63\)

---

Definitions:

Dividend Per Share

The amount of dividend that a company pays out for each share of its stock over a designated period.

Commission Charges

Fees paid to an agent or company for facilitating or completing a sale, often a percentage of the sale price.

Proceeds

The total amount of money received from a transaction or event, often after costs or other deductions are accounted for.

Commission Charges

Fees charged by brokers or agents for their services in facilitating transactions, often calculated as a percentage of the transaction value.