| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.26 |
| Score | 0% | 65% |
A cylinder with a radius (r) and a height (h) has a surface area of:
π r2h2 |
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4π r2 |
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2(π r2) + 2π rh |
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π r2h |
A cylinder is a solid figure with straight parallel sides and a circular or oval cross section with a radius (r) and a height (h). The volume of a cylinder is π r2h and the surface area is 2(π r2) + 2π rh.
Which of the following is not true about both rectangles and squares?
the area is length x width |
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the lengths of all sides are equal |
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the perimeter is the sum of the lengths of all four sides |
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all interior angles are right angles |
A rectangle is a parallelogram containing four right angles. Opposite sides (a = c, b = d) are equal and the perimeter is the sum of the lengths of all sides (a + b + c + d) or, comonly, 2 x length x width. The area of a rectangle is length x width. A square is a rectangle with four equal length sides. The perimeter of a square is 4 x length of one side (4s) and the area is the length of one side squared (s2).
The dimensions of this cylinder are height (h) = 9 and radius (r) = 1. What is the volume?
| 392π | |
| 125π | |
| 567π | |
| 9π |
The volume of a cylinder is πr2h:
v = πr2h
v = π(12 x 9)
v = 9π
A coordinate grid is composed of which of the following?
origin |
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x-axis |
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y-axis |
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all of these |
The coordinate grid is composed of a horizontal x-axis and a vertical y-axis. The center of the grid, where the x-axis and y-axis meet, is called the origin.
Solve for x:
-9x + 9 = -7 - 6x
| -\(\frac{1}{7}\) | |
| 5\(\frac{1}{3}\) | |
| -1 | |
| 4 |
To solve this equation, repeatedly do the same thing to both sides of the equation until the variable is isolated on one side of the equal sign and the answer on the other.
-9x + 9 = -7 - 6x
-9x = -7 - 6x - 9
-9x + 6x = -7 - 9
-3x = -16
x = \( \frac{-16}{-3} \)
x = 5\(\frac{1}{3}\)