Question
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
Real Tutor Solution
Tutor-Verified Answer
Answer
Neither A nor B are true.
Solution
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.**
Reviewed and approved by the UpStudy tutoring team
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Simplify this solution Extra Insights
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!
