The Circle $x^{2}+y^{2}=a^{2}$ Is Rotated Around the Y-Axis to Form a Solid Sphere

question 47

Short Answer

The circle $x^{2}+y^{2}=a^{2}$ is rotated around the y-axis to form a solid sphere of radius a.A plane perpendicular to the y-axis at y = a/5 cuts off a spherical cap from the sphere.What percent of the total volume of the sphere is contained in the cap? Round to 2 decimal places.

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Definitions:

Purely Competitive

A market structure characterized by a large number of small firms, homogeneous products, and free entry and exit, where no single firm can influence the market price.

Resource Market

The marketplace where the inputs required for the production process (labor, raw materials, capital etc.) are bought and sold.

Wage Taker

An individual or entity that accepts the prevailing wage rates in the market due to the inability to influence them.

Wage Rate

A set amount of money given by an employer to an employee for services rendered, usually specified on an hourly or annual basis.