Question

Claude is covering the lateral surface of bug spray cans with labels. Each can is cylindrical with a height of 12.7 centimeters and a radius of 3 centimeters. If he places labels on 5 bug spray cans, how many square centimeters of labeling material will he use?

Answer 1

Claude will use approximately 1196.2 square centimeters of labeling material to cover the lateral surface of 5 bug spray cans.

Explanation:

The lateral surface area of a cylinder can be calculated using the formula:

Lateral surface area = 2πrh

where r is the radius of the cylinder, h is the height of the cylinder, and π (pi) is a mathematical constant approximately equal to 3.14159.

In this case, each bug spray can has a height of 12.7 cm and a radius of 3 cm. So the lateral surface area of one can is:

Lateral surface area = 2πrh = 2 × 3.14159 × 3 cm × 12.7 cm ≈ 239.24 cm²

Therefore, the lateral surface area of 5 bug spray cans is:

5 × 239.24 cm² = 1196.2 cm²