Corrected Question
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?
Answer:
The equation is:
![216=(7)/(8)x-8](https://img.qammunity.org/2021/formulas/mathematics/college/y25r2giq2ksulkyheruov2dolm0bwz5k7g.png)
Volume of the second cylinder=
![256cm^3](https://img.qammunity.org/2021/formulas/mathematics/college/lbr1cmcwhkza0xqcxw6vvozswsbaybntmi.png)
Explanation:
Volume of the first cylinder=
![216cm^3](https://img.qammunity.org/2021/formulas/mathematics/college/in7e5webop6jg82g4mjwehqqbsjlkhncx1.png)
Let the volume of the second cylinder=x
7/8 of the volume of a second cylinder=
![(7)/(8)x](https://img.qammunity.org/2021/formulas/mathematics/college/t2cdx2k30tawefrkxp0grw2115qp0l1d3v.png)
8 less than 7/8 of the volume of a second cylinder=
![(7)/(8)x-8](https://img.qammunity.org/2021/formulas/mathematics/college/9h5tiqq7rugoqhey6qk0omxkul5oflereo.png)
Therefore, the equation is:
![216=(7)/(8)x-8](https://img.qammunity.org/2021/formulas/mathematics/college/y25r2giq2ksulkyheruov2dolm0bwz5k7g.png)
Next, we solve for x
![216=(7)/(8)x-8\\216+8=(7)/(8)x\\224=(7)/(8)x\\$Cross multiply\\7x=224*8\\Divide both sides by 7\\x=256cm^3](https://img.qammunity.org/2021/formulas/mathematics/college/8r9mhasyidogz20dcy0j9pbo2ua0qspkw8.png)
The volume of the second cylinder is
![256cm^3](https://img.qammunity.org/2021/formulas/mathematics/college/lbr1cmcwhkza0xqcxw6vvozswsbaybntmi.png)