Use Polar Coordinates to Find the Volume of the Solid $x ^ { 2 } + y ^ { 2 } = 16$

question 60

Multiple Choice

Use polar coordinates to find the volume of the solid inside the cylinder $x ^ { 2 } + y ^ { 2 } = 16$ and the ellipsoid $6 x ^ { 2 } + 6 y ^ { 2 } + z ^ { 2 } = 64$ .

• A) \(853.187\)
• B) \(903.187\)
• C) \(1003.187\)
• D) \(753.187\)
• E) \(1103.187\)

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Definitions:

Pile Up Sediment

The accumulation of sediments in a particular area, often due to transportation processes like water or wind flow.

Units of Measure

Standardized quantities used to quantify physical properties such as length, mass, volume, and temperature.

Hydrograph

A chart that displays the flow rate (discharge) over time at a certain location in a river, or any other flow-carrying channel or conduit.

Drainage Pattern

The arrangement of channels formed by the flow of water across the landscape, influenced by factors such as underlying rock types, topography, and climate.