Surface Areas and Volumes
RD Sharma
CBSE
Grade 10
Question:
A cylinder and a cone have equal radii and equal heights. If the volume of the cylinder is $27\text{ cm}^3$, find the volume of the cone.
Step-by-Step Solution
Key Concept: $\text{Volume of cone} = \dfrac{1}{3} \times \text{Volume of cylinder} = \dfrac{1}{3} \times 27 = 9\text{ cm}^3$.
$V_{\text{cone}} = \dfrac{1}{3} V_{\text{cylinder}} = \dfrac{1}{3} \times 27 = 9\text{ cm}^3$. [2.0 Marks]
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🎯 Official CBSE Marking Scheme:
Applying $V_{cone} = (1/3)V_{cyl} \Rightarrow 9\text{ cm}^3$: 2.0 Marks
Correct Answer:
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