A cylindrical soup can has a lateral surface area of 37.68 square inches and a radius of 1.5 inches. The...

Question

A cylindrical soup can has a lateral surface area of 37.68 square inches and a radius of 1.5 inches. The formula for lateral surface area is $ S = 2\pi rh $. What is the height of the can? Use 3.14 for $ \pi $.

SnapAndSolve AI · Accepted Answer

To find the height of the can, use the formula for lateral surface area: $ S = 2\pi rh $.

Given:

$ S = 37.68 $ square inches
$ r = 1.5 $ inches
$ \pi = 3.14 $

Substitute the values into the formula:

$ 37.68 = 2 \times 3.14 \times 1.5 \times h $

$ 37.68 = 9.42h $

Solve for $ h $:

$ h = \frac{37.68}{9.42} \approx 4 $ inches

The height of the can is 4 inches.

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A cylindrical soup can has a lateral surface area of 37.68 square inches and a radius of 1.5 inches. The...

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