Calculate the volume of the solid:
y=4 - (1/2)x, y = 0, x = 2, x = 3; about x-axis
y=4 - (1/2)x, y = 0, x = 2, x = 3; about x-axis
-
V = ∫πr² dx
3
∫π(4 - ½ x)² dx
2
= π (x³ /12 - 2x² + 16x)
= 91π / 12
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(about 23.8 cubic units)
3
∫π(4 - ½ x)² dx
2
= π (x³ /12 - 2x² + 16x)
= 91π / 12
```````````````
(about 23.8 cubic units)