Each cross section has a diameter equal the horizontal distance between the two "halves" of the parabola. We have
y = 4x² ⇒ x = ±√y/2
so the diameter for some given y would be √y/2 - (-√y/2) = √y.
The volume of a cross section with thickness ∆y is then
π/2 (√y/2)² ∆y = π/8 y ∆y
The total volume of the solid would then be
f = gmn/d²
gmn = fd²
m = fd²/gn
Answer:
IM struggling with the too D:
Step-by-step explanation:
14.8
By the Pythagorean theorem, ...
... x² = 7² + 13² = 218
... x = √218 ≈ 14.7648 ≈ 14.8