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Question

**Cone and sphere** The cone *z*^{2} = *x*^{2} + *y*^{2}, for *z* ≥ 0, cuts the

sphere *x*^{2} + *y*^{2} + *z*^{2} = 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.

Tagged in

Math

Calculus

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