Question

the volume of a cube with side length ( x ) is ( v(x)=x^{3} ). the volume of a cylinder with radius ( 0.5x ) is shown in the graph. when ( x = 1 ), which volume is greater? when ( x = 1 ), the volume of the choose... cylinder sphere cube is greater.

Explanation:

Step1: Calculate cube volume

$V_{\text{cube}}(1) = 1^3 = 1$

Step2: Find cylinder volume at x=1

From the graph, at $x=1$, $V_{\text{cylinder}}(1) = 2$

Step3: Compare the two volumes

$2 > 1$, so the cylinder volume is greater.

Answer:

When x = 1, the volume of the cylinder is greater.