FTCE Professional Education Practice Exam

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Prepare for the FTCE Professional Education Test. Study with comprehensive flashcards and engaging multiple choice questions, each crafted with hints and detailed explanations. Enhance your confidence for success!

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What describes the volume of a right cone?

3.14(r^2)(h)/3
(3.14)r^2
1/2PI + B
2(3.14)(rh)

The correct answer is: 3.14(r^2)(h)/3

The volume of a right cone is described by the formula $ V = \frac{1}{3} \pi r^2 h $, where $ r $ is the radius of the base of the cone, and $ h $ is the height of the cone. The expression presented as the correct choice effectively captures this formula, using an approximation for π (3.14) to convey the idea clearly. By multiplying the area of the circular base ($ \pi r^2 $) by the height and then dividing by 3, it appropriately represents how the volume of a cone is one-third that of a cylinder with the same base radius and height. This is an important concept in geometry, as it relates the three-dimensional shape of the cone to its dimensions. The other choices presented do not accurately represent the formula for the volume of a cone. Some may represent different geometric principles or areas rather than the volume. Choices that include only the base area or use incorrect operations cannot describe the volume of a three-dimensional shape. Thus, the choice representing the cone's volume is essential for understanding how to calculate it based on the dimensions of the cone itself.