| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.46 |
| Score | 0% | 69% |
The dimensions of this cylinder are height (h) = 6 and radius (r) = 6. What is the volume?
| 32π | |
| 192π | |
| 36π | |
| 216π |
The volume of a cylinder is πr2h:
v = πr2h
v = π(62 x 6)
v = 216π
If a = 9, b = 3, c = 7, and d = 2, what is the perimeter of this quadrilateral?
| 26 | |
| 21 | |
| 18 | |
| 19 |
Perimeter is equal to the sum of the four sides:
p = a + b + c + d
p = 9 + 3 + 7 + 2
p = 21
Solve for b:
7b + 2 = 5 - 4b
| -1 | |
| \(\frac{3}{11}\) | |
| -\(\frac{5}{6}\) | |
| \(\frac{3}{8}\) |
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.
7b + 2 = 5 - 4b
7b = 5 - 4b - 2
7b + 4b = 5 - 2
11b = 3
b = \( \frac{3}{11} \)
b = \(\frac{3}{11}\)
What is the area of a circle with a diameter of 4?
| 4π | |
| 9π | |
| 49π | |
| 3π |
The formula for area is πr2. Radius is circle \( \frac{diameter}{2} \):
r = \( \frac{d}{2} \)
r = \( \frac{4}{2} \)
r = 2
a = πr2
a = π(22)
a = 4π
If b = -8 and y = -4, what is the value of 6b(b - y)?
| 192 | |
| 90 | |
| -162 | |
| -216 |
To solve this equation, replace the variables with the values given and then solve the now variable-free equation. (Remember order of operations, PEMDAS, Parentheses, Exponents, Multiplication/Division, Addition/Subtraction.)
6b(b - y)
6(-8)(-8 + 4)
6(-8)(-4)
(-48)(-4)
192