One cylinder has a volume that is 8cm less than 7/8 of the volume of a second cylinder. If the first cylinder’s volume is 216cm³, what is the correct equation and value of x, the volume of the second cylinder?

Equation: [tex]216 = \frac{7}{8} \cdot x - 8 [/tex]

To solve the equation, first multiply by 8:

[tex]216 \cdot 8 = 8\cdot \dfrac{7}{8} x - 8 \cdot 8[/tex]

[tex]1728 = 7 x - 64[/tex]

Add 64 to both members of the equation:

[tex]1728 + 64 = 7x - 64 + 64[/tex]

[tex]1792 = 7x[/tex]

And, finally, divide by 7 to get x:

[tex] \dfrac{1792}{7} = \dfrac{7x}{7}[/tex]

[tex]256 = x[/tex]