A local artist creates a piece with two glass cylinders filled with colored water. The second cylinder has the same radius but is 1/2 tall as the first cylinder. What is the relationship between the volume of the first cylinder and the second cylinder?

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Answer 1 · 2018-03-19T17:59:39

Third Option down.

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The formula for the volume of a cylinder is:

$V_{Cylinder} = A r e a_{B a s e} \cdot H e i g h t = π r^{2} h$ $V_("Cylinder")=Area_(Base)*Height=pir^2h$

$V_{1} = π r^{2} h_{1}$ $V_1=pir^2h_1$

$V_{2} = π r^{2} h_{2}$ $V_2=pir^2h_2$

$h_{1} = 2 h_{2}$ $h_1=2h_2$

$V_{1} = 2 π r^{2} h_{2}$ $V_1=2pir^2h_2$

$V_{2} = π r^{2} h_{2}$ $V_2=pir^2h_2$

$\frac{V_{1}}{V_{2}} = 2$ $V_1/V_2=2$

$V_{1} = 2 V_{2}$ $V_1=2V_2$