| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.21 |
| Score | 0% | 64% |
A cylinder with a radius (r) and a height (h) has a surface area of:
2(π r2) + 2π rh |
|
4π r2 |
|
π r2h2 |
|
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.
The dimensions of this cylinder are height (h) = 1 and radius (r) = 7. What is the surface area?
| 112π | |
| 272π | |
| 224π | |
| 70π |
The surface area of a cylinder is 2πr2 + 2πrh:
sa = 2πr2 + 2πrh
sa = 2π(72) + 2π(7 x 1)
sa = 2π(49) + 2π(7)
sa = (2 x 49)π + (2 x 7)π
sa = 98π + 14π
sa = 112π
Simplify 6a x 8b.
| 14ab | |
| 48a2b2 | |
| 48ab | |
| 48\( \frac{b}{a} \) |
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.
6a x 8b = (6 x 8) (a x b) = 48ab
On this circle, line segment AB is the:
radius |
|
chord |
|
circumference |
|
diameter |
A circle is a figure in which each point around its perimeter is an equal distance from the center. The radius of a circle is the distance between the center and any point along its perimeter. A chord is a line segment that connects any two points along its perimeter. The diameter of a circle is the length of a chord that passes through the center of the circle and equals twice the circle's radius (2r).
Solve for x:
9x - 9 = 3 - 9x
| 1 | |
| 5 | |
| -1 | |
| \(\frac{2}{3}\) |
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 equal sign and the answer on the other.
9x - 9 = 3 - 9x
9x = 3 - 9x + 9
9x + 9x = 3 + 9
18x = 12
x = \( \frac{12}{18} \)
x = \(\frac{2}{3}\)