Answer:
The lateral area of the cylinder is 678cm²
Explanation:
To calculate the lateral area of the cylinder we have to calculate the circumference and multiply it by the height
To solve this problem we need to use the circumferenc formula of a circle:
c = circumference
r = radius = 9cm
π = 3.14
c = 2π * r
we replace with the known values
c = 2 * 3.14 * 9cm
c = 56.52cm
The length of the circumference is 56.52cm
lateral area = c * h
56.52cm * 12cm = 678.24 cm²
round to the nearest whole number
678.24 cm² = 678cm²
The lateral area of the cylinder is 678cm²