AleeyahG250536 AleeyahG250536
  • 04-11-2022
  • Mathematics
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Select the correct answer.What is the approximate surface area of an AA battery?49.5 mm14 mmA. 5,583 mm²B. 2,485 mm²C. 2,176 mm²D. 1,242 mm²

Select the correct answerWhat is the approximate surface area of an AA battery495 mm14 mmA 5583 mmB 2485 mmC 2176 mmD 1242 mm class=

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SyedX23807 SyedX23807
  • 04-11-2022

Given the figure of an AA battery.

As shown, an AA battery has the shape of a cylinder.

The surface area of the cylinder will be calculated using the following formula:

[tex]SA=2\pi(r^2+rh)[/tex]

Where (r) is the radius of the base and (h) is the height.

As shown, the diameter of the base = d = 14 mm

So, the radius = r = d/2 = 7 mm

And h = 49.5 mm

substitute r = 7 and h = 49.5 into the formula of the SA

[tex]SA=2\pi(7^2+7*49.5)=2\pi *395.5\approx2485[/tex]

So, the answer will be B. 2,485 mm²

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