Answer: the surface area of the larger cylinder is 16 times that of the smaller cylinder.
Step-by-step explanation:
The formula for determining the total surface area of a cylinder is expressed as
Total surface area = 2πr² + 2πrh
Where
r represents the radius of the cylinder.
h represents the height of the cylinder.
π is a constant
Considering the larger cylinder,
radius = 8 cm
Height = 12 cm
Therefore,
Total surface area = (2 × π × 8²) + (2 × π × 8 × 12)
= 128π + 192π = 320π
Considering the smaller cylinder,
Total surface area = 56π
radius = 8/4 = 2cm
Height = 12/4 = 3 cm
Therefore,
Total surface area = (2 × π × 2²) + (2 × π × 2 × 3)
= 8π + 12π = 20π
Ratio of the surface area of the larger cylinder to the smaller cylinder is
320π/20π = 16
