Let R Be the Ice-Cream Cone Lying Inside the Sphere $x ^ { 2 } + y ^ { 2 } + z ^ { 2 } = 4$

question 32

Essay

Let R be the ice-cream cone lying inside the sphere $x ^ { 2 } + y ^ { 2 } + z ^ { 2 } = 4$ and inside the cone $z = \sqrt { 3 \left( x ^ { 2 } + y ^ { 2 } \right) }$ .Find the center of mass of R.

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Definitions:

Income Transfers

Payments made from one individual or group to another without an exchange of goods or services, typically aimed at reducing economic inequality, such as social security payments.

Government Income Transfers

Government income transfers are payments made by the government to individuals without any goods or services being returned in exchange, aimed at redistributing wealth and supporting those in need.

National Income

The total value of all goods and services produced by a country's economy over a specific period, accounting for income from foreign sources.

Transfer Payment

Payments made by governments to individuals or other entities without the government receiving any goods or services in return, such as welfare payments or subsidies.