Problem 11
Answer: 339 square meters
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Work Shown:
The surface area of a 3D sphere is 4pi*r^2. So a hemisphere has surface area 2pi*r^2 since we cut the surface area in half.
Plug in r = 6 (half of the diameter 12) and we get 2pi*r^2 = 2pi*6^2 = 72pi
Now consider the circle with radius r = 6. Its area is pi*r^2 = pi*6^2 = 36pi
Add the two areas and we get 72pi+36pi = 108pi
Lastly, use your calculator to get 108pi = 108*3.1415926535898 = 339.292006587699 which rounds to 339
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Problem 12
Answer: C) 19.5 mm
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Explanation:
Look at where the "0" in the bottom sliding portion lines up with the number scale above. That "0" is between 19 and 20 mm. So you could argue that 19.2 and 19.5 are both valid answers, but I think 19.5 is the better answer since the tickmark seems to be right in the middle (more or less).
