Question

15 pts

what is the total volume of juice in a six-pack if each can is 6 inches tall and has a diameter of 3 inches? 42.39in^3 or 254.3in^3
please show your work and answer it correctly

Answer 1

The total volume of juice in a six-pack is
`254.3\ in^(2)`

Explanation:

step 1

Find the volume of one can

The volume of the cylinder (can of juice) is

`V=\pi r^(2) h`

we have

`r=3/2=1.5\ in` ----> the radius is half the diameter

`h=6\ in`

assume

`\pi =3.14`

substitute

`V=(3.14)(1.5)^(2) (6)`

`V=42.39\ in^(2)`

step 2

Find the total volume of juice in a six-pack

Multiply the volume of one can by 6

`42.39*(6)=254.3\ in^(2)`