A can of cashews is cylindrical in shape. The can has a height of 4.5 inches. The radius is 1.5 inches. Find the surface area of the cashew can. Use 3.14 to approximate pi. Round your answer to the nearest hundredth.

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01-02-2018
Mathematics

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A can of cashews is cylindrical in shape. The can has a height of 4.5 inches. The radius is 1.5 inches. Find the surface area of the cashew can. Use 3.14 to approximate pi. Round your answer to the nearest hundredth.

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Smartalec0017 Smartalec0017 · Answer 1 · 2018-02-01T03:08:55+01:00

First you will need to split the object into three 2D figures, two circles and a rectangle. Then you will calculate the area of each of these and add them all together.
Circles:
a = πr^2
a = π(1.5)^2
a = 7.065

Then find the area of the rectangle.
a = lw where l is length and w is width.
since this is a cylinder, the circumference of the top will be the length.
c = 2πr
c = 2π(1.5)
c = 9.42

a = lw
a = 9.42 x 4.5
a = 42.39

Now add everything up and remember that there are two circles, at the top AND bottom.

7.065(2) + 42.39 = 56.52
The answer is 56.53 inches.