Question

A can of green beans is in the shape of a cylinder that has a diameter of 8 centimeters and a height of 14 cm. If the can is made out of aluminum, how many square centimeters of aluminum was used to make the can?

Use the π key on your calculator when solving.

Group of answer choices

Answer 1

The number of square centimeters of aluminum that was used to make the can is $144 \pi cm^2$

Given a cylindrical can, in order to know the number of aluminum was used to make the can, we will use the formula for finding the total surface area of a cylinder as shown:

$T= 2\pi r(r+h)$

r is the radius of the cylinder

h is the height of the cylinder

Given the following parameters

Height = 14cm

radius = 8/2 = 4cm

Substitute the given parameters into the formula as shown:

$T= 2\pi (4)(4+14)\\T=8 \pi (18)\\T =144 \pi cm^2$

Hence the number of square centimeters of aluminum that was used to make the can is $144 \pi cm^2$

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