Amir is trying to cover the lateral surface area of a cylinder with wrapping paper. The can has a diameter of 3 feet and a height of 4 feet. How much paper does he need? round to the nearest square foot.(1 point)

1 answer

First, we need to calculate the lateral surface area of the cylinder.

The lateral surface area of a cylinder is given by the formula:

Lateral Surface Area = height x circumference of the base

The circumference of the base can be calculated using the formula for the circumference of a circle:

Circumference = π x diameter

Plugging in the values for the diameter and height of the cylinder:

Circumference = π x 3 feet = 3.14 x 3 feet = 9.42 feet

Now, we can calculate the lateral surface area:

Lateral Surface Area = 4 feet x 9.42 feet = 37.68 square feet

Therefore, Amir will need approximately 38 square feet of wrapping paper to cover the lateral surface of the cylinder.
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