Find the Area of the Surface S Where S Is $x ^ { 2 } + y ^ { 2 } + z ^ { 2 } = 1$

question 108

Short Answer

Find the area of the surface S where S is the part of the sphere $x ^ { 2 } + y ^ { 2 } + z ^ { 2 } = 1$ that lies inside the cylinder $x ^ { 2 } - x + y ^ { 2 } = 0$

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Definitions:

Three Figure Accuracy

The accuracy of a number rounded to the nearest hundred; signifies a level of precision.

Pair of Equations

A pair of equations that are simultaneously solved to identify a shared solution for their variables.

Three Figure Accuracy

The precision of a numerical value rounded to the nearest hundredth, typically used in scientific or technical contexts.

Pair of Equations

Two equations related in such a way that they share at least one common variable, often solved together.