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Find the Volume of the Solid Obtained by Rotating the Region

question 15

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Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified axis. y=3(x2+4),y=3(12x2); about y=3y=3\left(x^{2}+4\right), y=3\left(12-x^{2}\right) ; \text { about } y=-3

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Definitions:

Precipitation

Any form of water - liquid or solid - that falls from clouds and reaches the ground, including rain, snow, sleet, and hail.

Savanna

A grassland ecosystem characterized by the presence of scattered trees, maintaining an open canopy, found in tropical and subtropical regions.

Earth's Biomes

Large ecological areas on the planet's surface, defined by distinctive climate, soil, and vegetation types, such as deserts, forests, and tundra.

Altitude

The height of an object or point in relation to sea level or ground level.

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