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:

Cerebrum

The largest part of the brain, divided into two hemispheres, responsible for higher brain functions such as thought and action.

Cardiac Center

A region of the brain that regulates the rate and strength of heart contractions.

Medulla Oblongata

The lower brainstem region that regulates vital functions such as breathing, heart rate, and blood pressure.

Pyramids

Ancient monumental structures with a square or triangular base and sloping sides that converge at a point at the top, often used as tombs.