The base of a cylinder has a radius of 9 centimeters. The cylinder is 12 centimeters tall. What is the approximate lateral area of the cylinder? Use 3.14 for π and round to the nearest whole number.

The lateral area of the cylinder is 678cm²

Step-by-step 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

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