Pregunta
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3. Which of the following is a true statement about the formula \( V=B \) h? A. "B" represents the diameter of the circular base. B. "B" represents the circumf erence of the circular base. C. Both \( A \) and \( B \) are true. D. Neither \( A \) nor \( B \) are true.

Ask by Rogers Greene. in the United States
Feb 03,2025

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Neither A nor B are true.

Solución

To determine which statement is true about the formula \( V = B h \), we need to understand what each variable represents in the context of this formula. 1. **Understanding the formula**: - \( V \) represents the volume of a three-dimensional shape. - \( B \) represents the area of the base of the shape. - \( h \) represents the height of the shape. 2. **Analyzing the options**: - **Option A**: "B" represents the diameter of the circular base. - This statement is false because \( B \) represents the area of the base, not the diameter. - **Option B**: "B" represents the circumference of the circular base. - This statement is also false because \( B \) represents the area of the base, not the circumference. 3. **Conclusion**: - Since both statements A and B are false, the correct answer is: - **D. Neither A nor B are true.**

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The formula \( V = B h \) is used to calculate the volume of a cylinder, where \( B \) represents the area of the circular base, not the diameter or circumference. The area can be computed by the formula \( B = \pi r^2 \), with \( r \) being the radius. Therefore, options A and B are incorrect regarding what "B" represents. The correct answer here is D—Neither \( A \) nor \( B \) are true! So, keep this in mind when working with volume formulas: identifying the meaning of each variable is key to solving those geometry puzzles accurately!

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