For the region in the fourth quadrant bounded by y =x2 - 4, the x-axis, and y-axis, determine which of the following is greater: the volume of the solid generated when the region is revolved about the x-axis orabout the y-axis.2567When the region is revolved about the x-axis, the volume is15(Type an exact answer, using n as needed.)When the region is revolved about the y-axis, the volume is(Type an exact answer, using a as needed.)Enter your answer in the answer box and then click Check Answer.partremainingClear AllCheck Answer

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Asked Dec 9, 2019
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For the region in the fourth quadrant bounded by y =x2 - 4, the x-axis, and y-axis, determine which of the following is greater: the volume of the solid generated when the region is revolved about the x-axis or
about the y-axis.
2567
When the region is revolved about the x-axis, the volume is
15
(Type an exact answer, using n as needed.)
When the region is revolved about the y-axis, the volume is
(Type an exact answer, using a as needed.)
Enter your answer in the answer box and then click Check Answer.
part
remaining
Clear All
Check Answer
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For the region in the fourth quadrant bounded by y =x2 - 4, the x-axis, and y-axis, determine which of the following is greater: the volume of the solid generated when the region is revolved about the x-axis or about the y-axis. 2567 When the region is revolved about the x-axis, the volume is 15 (Type an exact answer, using n as needed.) When the region is revolved about the y-axis, the volume is (Type an exact answer, using a as needed.) Enter your answer in the answer box and then click Check Answer. part remaining Clear All Check Answer

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Expert Answer

Step 1

The region in the fourth quadrant bounded by y = x2 – 4 is shown in below figure.

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х y =x²- 4 --2 --3- -4 2.

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Step 2

Volume revolve around x...

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V, = [ 2xy°dx = 21[ (x° – 4) de = 27f (x* - 8x* +16)x (x* – 8x² +16)dx 2 8x +16x 3 = 27 0. 2° 8(2) = 2n +16(2) – 0 3 (32 64 +32 3 = 27 3 – 10+15 5127 = 647 15 15

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MathCalculus

Integration