The average soda can has a diameter of 2.62 in and a height of 6.82 in. What is the surface area? (Round your answer to the nearest hundredth.)
Question
The average soda can has a diameter of 2.62 in and a height of 6.82 in. What is the surface area? (Round your answer to the nearest hundredth.)
Solution
To find the surface area of a cylinder (which is the shape of a soda can), we use the formula:
Surface Area = 2πr(h + r)
where: r = radius of the base of the cylinder h = height of the cylinder
Given that the diameter of the soda can is 2.62 inches, the radius (r) would be half of the diameter, which is 2.62/2 = 1.31 inches.
The height (h) of the soda can is given as 6.82 inches.
Substituting these values into the formula, we get:
Surface Area = 2π(1.31)(6.82 + 1.31) Surface Area = 2π(1.31)(8.13) Surface Area = 2 * 3.14 * 1.31 * 8.13 Surface Area = 67.02 square inches
So, the surface area of the soda can is approximately 67.02 square inches, rounded to the nearest hundredth.
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