Answer:
Area of the StarKist label around the can in terms of π = 12π cm²
Step-by-step explanation:
Given;
the volume of a can of StarKist tuna, V = 18 π cm³
height of the can of StarKist tuna, h = 2 cm
To determine the area of the StarKist label that wraps around the entire can and does not overlap, we assume the can to have a shape of a cylinder.
Volume of the can = πr²h
where;
r is radius of the can
h is height of the can
πr² x 2 = 18 π
2r² = 18
r² = 18/2
r² = 9
r = 3
Area around the can = curved surface area of the can (cylinder)
Curved surface area of the can = 2πr × h = 2πrh
Curved surface area of the can = 2πrh = 2π x 3 x 2 = 12π cm²
Area of the StarKist label around the can in terms of π = 12π cm²
