Question

Which cylinders with base area B and height h have volumes

Answer 1

1)
`B=15in^(2),h=17in`

3)
`B=7.2in^(2),h=6.5in`

4)
`B=8.5in^(2),h=30in`

Explanation:

1. You can calculate the volume of a cylinder with the following formula:

`V=B*h`

Where
`B` is the area of the base and
`h` is the height.

2. Therefore, you only need to multiply the area of the base by the height in each option:

1)
`V_1=15in^(2)*17in=255in^(3)`

2)
`V_2=7.2in^(2)*6.5in=46.8in^(3)`

3)
`V_3=34in^(2)*7.5in=255in^(3)`

4)
`V_4=8.5in^(2)*30in=255in^(3)`

3. Therefore, the options 1), 3) and 4) have equal volumes.