A cylinder and a cone have the same base radius and the same volume. What is the ratio of the height of the cylinder to the height of the cone?

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Accepted Answer

1. Volumes: Cylinder $V=\pi r^2 h_c$. Cone $V=	frac{1}{3}\pi r^2 h_k$.  
2. Set equal: $\pi r^2 h_c=	frac{1}{3}\pi r^2 h_k$. Cancel $\pi r^2$ to get $h_c=	frac{1}{3}h_k$.  
3. So the ratio $h_c:h_k=1:3$. **Option (a)**.

FINAL_ANSWER: a

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