First note the intersections of each pair of lines.
x = 3 ⇒ y = 2•3 + 1 = 7 ⇒ (3, 7)
y = -3 ⇒ -3 = 2x + 1 ⇒ x = -2 ⇒ (-2, -3)
y = -3 and x = 3 ⇒ (3, -3)
Using the disk method, we consider disks with thickness ∆y and radius equal to the horizontal distance between the line y = 2x + 1 (or x = (y - 1)/2) and the axis of revolution, x = 3. Each disk will then contribute a volume of
∆V = π (radius)² (thickness) = π/4 (y - 1)² ∆y
As we let ∆y go to zero and let the number of disks go to infinity, the total volume of the resulting cone will be given by the integral
![\displaystyle \frac\pi4 \int_{-3}^7 (y-1)^2 \, dy](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cfrac%5Cpi4%20%5Cint_%7B-3%7D%5E7%20%28y-1%29%5E2%20%5C%2C%20dy)
-2 * (-4) * 8 * (1) = -64
Answer: A) or the first option.
Answer:
9 boys
Step-by-step explanation:
15/5
=3
3*3
=9
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