| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.86 |
| Score | 0% | 57% |
The dimensions of this cylinder are height (h) = 3 and radius (r) = 4. What is the volume?
| 48π | |
| 147π | |
| 36π | |
| 81π |
The volume of a cylinder is πr2h:
v = πr2h
v = π(42 x 3)
v = 48π
Solve for c:
-5c + 7 < 5 - 2c
| c < -\(\frac{1}{3}\) | |
| c < -\(\frac{3}{4}\) | |
| c < -\(\frac{1}{7}\) | |
| c < \(\frac{2}{3}\) |
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 < sign and the answer on the other.
-5c + 7 < 5 - 2c
-5c < 5 - 2c - 7
-5c + 2c < 5 - 7
-3c < -2
c < \( \frac{-2}{-3} \)
c < \(\frac{2}{3}\)
The formula for volume of a cube in terms of height (h), length (l), and width (w) is which of the following?
h x l x w |
|
2lw x 2wh + 2lh |
|
lw x wh + lh |
|
h2 x l2 x w2 |
A cube is a rectangular solid box with a height (h), length (l), and width (w). The volume is h x l x w and the surface area is 2lw x 2wh + 2lh.
A cylinder with a radius (r) and a height (h) has a surface area of:
4π r2 |
|
π r2h2 |
|
π r2h |
|
2(π r2) + 2π rh |
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.
For this diagram, the Pythagorean theorem states that b2 = ?
c2 - a2 |
|
c - a |
|
a2 - c2 |
|
c2 + a2 |
The Pythagorean theorem defines the relationship between the side lengths of a right triangle. The length of the hypotenuse squared (c2) is equal to the sum of the two perpendicular sides squared (a2 + b2): c2 = a2 + b2 or, solved for c, \(c = \sqrt{a + b}\)