Disk Method makes no sense

[litewait]

I have a sample question whose answer seems just wrong:

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Since the radius of the disk is:

. . . . .\(\displaystyle R(x)\, =\, 4\sqrt{3\,}\, -\, 4\sqrt{x\,},\,\)

then the volume is:

. . . . .\(\displaystyle \displaystyle V\, =\, \int_0^3\, \pi\, \left(\, 4\sqrt{3\,}\, -\, 4\sqrt{x\,}\,\right)^2\, dx\, =\, 24\pi \mbox{ cubit units}\)

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But this answer seems wrong

 

[Deleted member 4993]

I have a sample question whose answer seems just wrong:

---

Since the radius of the disk is:

. . . . .\(\displaystyle R(x)\, =\, 4\sqrt{3\,}\, -\, 4\sqrt{x\,},\,\)

then the volume is:

. . . . .\(\displaystyle \displaystyle V\, =\, \int_0^3\, \pi\, \left(\, 4\sqrt{3\,}\, -\, 4\sqrt{x\,}\,\right)^2\, dx\, =\, 24\pi \mbox{ cubit units}\)

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But this answer seems wrong

Why do you think this is incorrect?