Question

The diameter of the base of a cylindrical can is 5 inches. The height of the can is 7.5 inches. Determine the area of the lateral side. Round your answer to the nearest tenth. (Use 3.14 for π.)
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1 answer
Kaleeyaaaa<3
asked by Kaleeyaaaa<3
calendar icon23 hours ag.

Answer 1

U sure

Answer 2

To find the lateral surface area of a cylinder, you need to use the formula:

Lateral Surface Area = 2πrh

Where:
r = radius of the base
h = height of the cylinder

Given:
r = 5 inches (diameter is 5 inches, so radius is half of the diameter, which is 5/2 = 2.5 inches)
h = 7.5 inches

Plugging in the values:

Lateral Surface Area = 2 * 3.14 * 2.5 * 7.5
Lateral Surface Area = 2 * 3.14 * 18.75
Lateral Surface Area = 6.28 * 18.75
Lateral Surface Area = 117.75 square inches

Therefore, the area of the lateral side of the cylindrical can is approximately 117.8 square inches.

Answer 3

Let me double-check the calculations.

Lateral Surface Area = 2 * π * r * h
Lateral Surface Area = 2 * 3.14 * 2.5 * 7.5
Lateral Surface Area = 2 * 3.14 * 18.75
Lateral Surface Area = 6.28 * 18.75
Lateral Surface Area = 117.75 square inches

After recalculating, I confirm that the area of the lateral side of the cylindrical can is approximately 117.8 square inches.