Question:
What is the volume of the cone?
I) The height of the cone is 10 cm.
II) The area of its base is 126 sq.cm.
What is the volume of the cone?
I) The height of the cone is 10 cm.
II) The area of its base is 126 sq.cm.
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Always identify the variables in the required formula to determine which pieces of data are essential.
Updated On: Jul 3, 2026
- Statement I alone is sufficient to answer the question
- Statement II alone is sufficient to answer the question
- Both the statements I and II are sufficient to answer the question but neither statement alone is not sufficient
- Both the statements I and II together are not sufficient to answer the question and additional data is required
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The Correct Option is C
Solution and Explanation
Step 1: Concept
The volume of a cone is given by the formula $V = \frac{1}{3} \times \text{Base Area} \times \text{Height}$.
Step 2: Meaning
To calculate the volume, we specifically require both the height ($h$) and the base area ($A$).
Step 3: Analysis
Statement I provides only $h = 10 \text{ cm}$. Statement II provides only $A = 126 \text{ sq.cm}$. Neither statement alone provides both variables.
Step 4: Conclusion
By combining both statements, we can calculate $V = \frac{1}{3} \times 126 \times 10 = 420 \text{ cubic cm}$. Thus, both are needed together. Final Answer: (C)
The volume of a cone is given by the formula $V = \frac{1}{3} \times \text{Base Area} \times \text{Height}$.
Step 2: Meaning
To calculate the volume, we specifically require both the height ($h$) and the base area ($A$).
Step 3: Analysis
Statement I provides only $h = 10 \text{ cm}$. Statement II provides only $A = 126 \text{ sq.cm}$. Neither statement alone provides both variables.
Step 4: Conclusion
By combining both statements, we can calculate $V = \frac{1}{3} \times 126 \times 10 = 420 \text{ cubic cm}$. Thus, both are needed together. Final Answer: (C)
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