| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.02 |
| Score | 0% | 60% |
The dimensions of this cylinder are height (h) = 7 and radius (r) = 5. What is the surface area?
| 24π | |
| 120π | |
| 36π | |
| 110π |
The surface area of a cylinder is 2πr2 + 2πrh:
sa = 2πr2 + 2πrh
sa = 2π(52) + 2π(5 x 7)
sa = 2π(25) + 2π(35)
sa = (2 x 25)π + (2 x 35)π
sa = 50π + 70π
sa = 120π
What is the circumference of a circle with a diameter of 11?
| 4π | |
| 28π | |
| 11π | |
| 26π |
The formula for circumference is circle diameter x π:
c = πd
c = 11π
A cylinder with a radius (r) and a height (h) has a surface area of:
4π r2 |
|
π r2h |
|
π r2h2 |
|
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.
Factor y2 - 4y - 5
| (y + 5)(y + 1) | |
| (y - 5)(y + 1) | |
| (y - 5)(y - 1) | |
| (y + 5)(y - 1) |
To factor a quadratic expression, apply the FOIL method (First, Outside, Inside, Last) in reverse. First, find the two Last terms that will multiply to produce -5 as well and sum (Inside, Outside) to equal -4. For this problem, those two numbers are -5 and 1. Then, plug these into a set of binomials using the square root of the First variable (y2):
y2 - 4y - 5
y2 + (-5 + 1)y + (-5 x 1)
(y - 5)(y + 1)
Breaking apart a quadratic expression into a pair of binomials is called:
squaring |
|
factoring |
|
deconstructing |
|
normalizing |
To factor a quadratic expression, apply the FOIL (First, Outside, Inside, Last) method in reverse.