Thursday

July 31, 2014

July 31, 2014

Posted by **Anonymous** on Wednesday, December 12, 2012 at 5:56am.

I got 256 pi/3 but pretty sure my work is wrong.

- Math Calc 1 Last question -
**Anonymous**, Wednesday, December 12, 2012 at 6:30amstraightforward shell problem -- each shell has radius R = x + 2

and height h = 8x - 2x² - (4x - x²) = 4x - x²,

and the range is 0 ≤ x ≤ 4, so

V = ∫[a,b] 2pi Rh dx = 2pi ∫[0,4] (x + 2)(4x - x²) dx = 2pi ∫[0,4] (2x² - x^3 + 8x) dx

V = 2pi ((2/3)x^3 - (1/4)x^4 + 4x²) |[0,4] = 2pi (128/3 - 64 + 64) = 256pi/3

barring computational error.

7 months ago

**Related Questions**

calculus - Sketch the region bounded by the curves y = x^2, y = x^4. 1) Find ...

Calculus I don't understand - Find the volume of the solid obtained by rotating ...

calculus - Find the volume of the solid obtained by rotating the region bounded ...

Calculus - find volume of solid obtained by rotating region bounded by curves y=...

Calc - find the volume of the solid obtained by rotating the region bounded by ...

CALCULUS 2 - Consider the solid obtained by rotating the region bounded by the ...

calculus - Consider the solid obtained by rotating the region bounded by the ...

calculus - Consider the solid obtained by rotating the region bounded by the ...

calculus - Find the volume of the solid obtained by rotating the region bounded...

Math - Find the volume V of the solid obtained by rotating the region bounded by...