| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.34 |
| Score | 0% | 67% |
The dimensions of this cylinder are height (h) = 8 and radius (r) = 7. What is the volume?
| 72π | |
| 405π | |
| 392π | |
| 9π |
The volume of a cylinder is πr2h:
v = πr2h
v = π(72 x 8)
v = 392π
Simplify 4a x 8b.
| 32ab | |
| 32\( \frac{a}{b} \) | |
| 32a2b2 | |
| 32\( \frac{b}{a} \) |
To multiply monomials, multiply the coefficients (the numbers that come before the variables) of each term, add the exponents of like variables, and multiply the different variables together.
4a x 8b = (4 x 8) (a x b) = 32ab
If a = 5, b = 6, c = 5, and d = 1, what is the perimeter of this quadrilateral?
| 21 | |
| 26 | |
| 17 | |
| 22 |
Perimeter is equal to the sum of the four sides:
p = a + b + c + d
p = 5 + 6 + 5 + 1
p = 17
A cylinder with a radius (r) and a height (h) has a surface area of:
2(π r2) + 2π rh |
|
π r2h2 |
|
π r2h |
|
4π r2 |
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 |
|
c2 - a2 |
|
a2 - c2 |
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, \(c = \sqrt{a + b}\)