If the radius of a cylinder is increased to 1.5 times and the height is doubled, what is the ratio of the new volume to the original volume?

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Accepted Answer

1. Volume formula: $V=\pi r^2 h$.  
2. Radius scaled by $1.5$ so area factor is $(1.5)^2=2.25$.  
3. Height is doubled, factor $=2$.  
4. Volume factor $=2.25	imes2=4.5$. So new : original $=4.5:1$.  
**Answer:** $4.5:1$.  
FINAL_ANSWER: b

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