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photoshop1234 [79]
3 years ago
13

The surface area of a globe in Mr. Patton's classroom is about 152.39 square inches. Find its

Mathematics
1 answer:
Snezhnost [94]3 years ago
6 0

Answer:

176.89in^3

Step-by-step explanation:

when finding the volume using the surface area, the best method that comes in my mind is finding the ratio between the surface area and volume which would be r/3 for a sphere. So if given that the surface area of the sphere is 152.39 square r/3=around 1.161, and when multiplied by 152.39 is around 176.89. another similar method is deriving the radius when given its surface area which is simply taking the square root of the surface area/4pi which turns out to be 3.482357088 or 3.48 which can then be plugged into the volume formula as the radius which is (3.48^3*4pi)/3 which turns out to be the same answer!

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6.665 grams of the 13 grams remain after 8 hours.

<h3>How much of a 13 gram sample of iron-52 would remain after 8 hours?</h3>

The decay equation for the 13 grams of iron-52 is:

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Where N is the amount of iron-52, and t is the time in years.

Where we used the fact that the half-life is exactly 8.3 hours.

Now, the amount that is left is given by N(8h), so we just need to replace the variable t by by 8 hours, so we get:

N(8h) = 13g*e^{(-ln(2)/8.3h)*8h}} = 6.665g

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3 years ago
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