Cone and sphere The cone z2 = x2 + y2, for z ≥ 0, cuts thesphere x2 + y2 + z2 = 16 along a curve C.a. Find the surface area of the sphere below C, for z ≥ 0.b. Find the surface area of the sphere above C.c. Find the surface area of the cone below C, for z ≥ 0.
Cone and sphere The cone z2 = x2 + y2, for z ≥ 0, cuts thesphere x2 + y2 + z2 = 16 along a curve C.a. Find the surface area of the sphere below C, for z ≥ 0.b. Find the surface area of the sphere above C.c. Find the surface area of the cone below C, for z ≥ 0.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section: Chapter Questions
Problem 9DE
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Cone and sphere The cone z2 = x2 + y2, for z ≥ 0, cuts the
sphere x2 + y2 + z2 = 16 along a curve C.
a. Find the surface area of the sphere below C, for z ≥ 0.
b. Find the surface area of the sphere above C.
c. Find the surface area of the cone below C, for z ≥ 0.
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