| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.14 |
| Score | 0% | 63% |
The dimensions of this cylinder are height (h) = 6 and radius (r) = 5. What is the volume?
| 150π | |
| 6π | |
| 64π | |
| 80π |
The volume of a cylinder is πr2h:
v = πr2h
v = π(52 x 6)
v = 150π
If angle a = 31° and angle b = 38° what is the length of angle d?
| 135° | |
| 149° | |
| 124° | |
| 154° |
An exterior angle of a triangle is equal to the sum of the two interior angles that are opposite:
d° = b° + c°
To find angle c, remember that the sum of the interior angles of a triangle is 180°:
180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 31° - 38° = 111°
So, d° = 38° + 111° = 149°
A shortcut to get this answer is to remember that angles around a line add up to 180°:
a° + d° = 180°
d° = 180° - a°
d° = 180° - 31° = 149°
A right angle measures:
360° |
|
45° |
|
90° |
|
180° |
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.
If a = c = 7, b = d = 1, what is the area of this rectangle?
| 18 | |
| 20 | |
| 7 | |
| 8 |
The area of a rectangle is equal to its length x width:
a = l x w
a = a x b
a = 7 x 1
a = 7
The formula for the area of a circle is which of the following?
c = π d |
|
c = π d2 |
|
c = π r |
|
c = π r2 |
The circumference of a circle is the distance around its perimeter and equals π (approx. 3.14159) x diameter: c = π d. The area of a circle is π x (radius)2 : a = π r2.