The lunch lady has 6 pounds of lasagna left over. If she makes 1/2-pound servings, how many servings of lasagna can she serve wi
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Plug into the equation of the ellipsoid:
Complete the square:
Then the intersection is such that
which resembles the equation of a circle, and suggests a parameterization is polar-like coordinates. Let
(Attached is a plot of the two surfaces and the intersection; red for the positive root , blue for the negative)
Answer:
V ≈ 16.333 in³
Step-by-step explanation:
Formula of the Volume of a Sphere:
V = × (3.5)²π
V = × 12.25π
V ≈ 16.333 in³