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Find the volume v of the solid obtained by rotating the region bounded by the given curves about the specified line. x = 2 3y , x = 0, y = 9; about the y-axis

Respuesta :

The volume v of the solid obtained by rotating the region bounded by the given curves is 486π.

How to calculate the volume?

x = 2✓3y

x > 0

y = 9

Volume = √ 9S0 (2✓3y)2dy

= π 9S0 4✓(3y) dy

= π 12 (9²/2

= 6π (81)

= 486π

The volume is 486π.

Learn more about volume on:

brainly.com/question/463363

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