Answer:
The total volume of juice in a six-pack is [tex]254.3\ in^{2}[/tex]
Step-by-step explanation:
step 1
Find the volume of one can
The volume of the cylinder (can of juice) is
[tex]V=\pi r^{2} h[/tex]
we have
[tex]r=3/2=1.5\ in[/tex] ----> the radius is half the diameter
[tex]h=6\ in[/tex]
assume
[tex]\pi =3.14[/tex]
substitute
[tex]V=(3.14)(1.5)^{2} (6)[/tex]
[tex]V=42.39\ in^{2}[/tex]
step 2
Find the total volume of juice in a six-pack
Multiply the volume of one can by 6
[tex]42.39*(6)=254.3\ in^{2}[/tex]