Answer:
Surface area = 663π in².
Volume = (676/3)π in² ≈ 225.33 π in²
Explanation:
1) We know the radius and the lateral area.
2) With the radius you can find the areas of the top and the bottom.
For that, you use the formula:
area of the top = area of the bottom = π r²
∴ π (13 in)² = 169π in² (each)
3) Then, the surface area is the sum of the lateral area and the two bases (top and bottom)
surface area = lateral area + bottom area + top area = 325π in² + 2×169π in² = 663π in².
3) You can also find the height of the cylinder.
Use the formula: lateral area = 2π r h
∴ h = lateral area / [2 π r]
⇒ h = 325 π / [ 2π (13) ] = 12.5 in
4) With the height you can find the volume.
Use the formula: V = (4/3) π r³
∴ V = (4/3) π (13 in)³ = (676/3)π in² ≈ 225.33 π in²
9514 1404 393
Answer:
- C
- E
- B
Step-by-step explanation:
The idea of a "production possibilities curve" is that there is a fixed relationship between possible production of one product and possible production of another. This relationship is presumed to exist because resources used to produce one product are then unavailable to produce the other product.
The graph of the curve generally has increased production in the direction away from the origin. So, points between the curve and the origin represent production choices that do not utilize all available resources of the kind that give rise to the curve. That is, points "inside" the curve represent under-utilization of resources.
1. Point C represents under-utilization.
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2. Points "outside" the curve are unattainable, because the curve represents production using all available resources.
Point E is unattainable.
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3. The assumptions behind the curve are that there must be a tradeoff between production of one item and production of another that uses the same resources. That is, increasing production of one item will necessarily decrease production of the other, representing a cost of the increased production of the first item. We call this cost an "opportunity cost", because it represents production opportunity lost with respect to the second item.
Choice B describes this situation.
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<em>Additional comment</em>
The very idea of a "production possibilities curve" represents the sort of simplification that is often used in the study of economics. The real world is much messier, and these curves are always dynamic. They are affected by the regulatory environment, resource quality, technology, product quality, and availability of alternate or competing products, among other things. The very existence of such a curve precludes the possibility of "win-win" situations, which we know are generally available if they are sought after.
I believe the answers for this is D
Answer:
x = 11
Step-by-step explanation:
a straight line = 180 degrees . 180-125=55 . 55/5 = 11
5 cubes, each have six sides containing different numbers = 6⁵ = 7,776
Answer: 7,776 total possible outcomes
