| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.72 |
| Score | 0% | 74% |
The dimensions of this cylinder are height (h) = 1 and radius (r) = 7. What is the volume?
| 245π | |
| 49π | |
| 405π | |
| 2π |
The volume of a cylinder is πr2h:
v = πr2h
v = π(72 x 1)
v = 49π
A right angle measures:
180° |
|
90° |
|
45° |
|
360° |
A right angle measures 90 degrees and is the intersection of two perpendicular lines. In diagrams, a right angle is indicated by a small box completing a square with the perpendicular lines.
Simplify 9a x 4b.
| 36a2b2 | |
| 36ab | |
| 36\( \frac{b}{a} \) | |
| 36\( \frac{a}{b} \) |
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.
9a x 4b = (9 x 4) (a x b) = 36ab
If side a = 6, side b = 3, what is the length of the hypotenuse of this right triangle?
| \( \sqrt{45} \) | |
| \( \sqrt{53} \) | |
| \( \sqrt{106} \) | |
| \( \sqrt{97} \) |
According to the Pythagorean theorem, the hypotenuse squared is equal to the sum of the two perpendicular sides squared:
c2 = a2 + b2
c2 = 62 + 32
c2 = 36 + 9
c2 = 45
c = \( \sqrt{45} \)
What is the area of a circle with a radius of 4?
| 25π | |
| 4π | |
| 16π | |
| 5π |
The formula for area is πr2:
a = πr2
a = π(42)
a = 16π