Question

If x ? 0, find the volume of the solid obtained by rotating the region enclosed by the graphs about the line y = -5. y = 56 - x, y = x², x = 0 (Use symbolic notation and fractions where needed.) volume: ? 92463/7

          If x ? 0, find the volume of the solid obtained by rotating the region enclosed by the graphs about the line y = -5.

y = 56 - x, y = x², x = 0

(Use symbolic notation and fractions where needed.)

volume: ? 92463/7
        
If x ? 0, find the volume of the solid obtained by rotating the region enclosed by the graphs about the line y = -5.

y = 56 - x, y = x², x = 0

(Use symbolic notation and fractions where needed.)

volume: ? 92463/7

Added by Kathy I.

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Calculus: Early Transcendentals
Calculus: Early Transcendentals
James Stewart 8th Edition
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If x ≥ 0, find the volume of the solid obtained by rotating the region enclosed by the graphs about the line y = -5. y = 56 - x, y = x², x = 0 (Use symbolic notation and fractions where needed.) volume: π 92463/7
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Transcript

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00:01 For this problem, we want to find the volume of the region r, bounded by the line y equals 56 minus x, the parabola y equals x squared, and the vertical line x equals 0, with x greater than or equal to 0, when r is rotated about the line y equals negative 5.
00:17 Now, the first thing you have to do is to graph this region.
00:21 Since the region is bounded by these three and x has to be greater than or equal to zero, then the region we're going to be.
00:30 Looking at is this region in the first quadrant.
00:35 In this graph you also have the x's of rotation y equals negative 5...
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