FTCE Professional Education Practice Exam

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Prepare for the FTCE Professional Education Test with our comprehensive quiz, featuring insightful questions and detailed feedback. Enhance your understanding and boost your chances of passing the exam.

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What is the formula to calculate the volume of a sphere?

4/3 (3.14)(r^3)
(3.14)(r^2)(h)
2(3.14)(rh) + 2(3.14)r^2
3.14(r)(square root of r^2 + h^2)

The correct answer is: 4/3 (3.14)(r^3)

The formula to calculate the volume of a sphere is $ \frac{4}{3} \pi r^3 $, where $ r $ represents the radius of the sphere. This formula derives from integrating the volume of infinitesimally thin circular disks stacked along the radius of the sphere. The constant $ \pi $ is approximated as 3.14 for practical calculations, making the choice that includes $ \frac{4}{3} $ and $ r^3 $ the correct representation of the volume of a sphere. The other options relate to different geometric shapes or concepts. One describes the formula for the volume of a cylinder, while another refers to the surface area of a cylinder, and the last reflects calculations associated with a cone or similar structures. Understanding the specific formulas for each shape is essential in distinguishing how to apply them correctly in mathematical contexts.