| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.85 |
| Score | 0% | 57% |
The dimensions of this cylinder are height (h) = 6 and radius (r) = 2. What is the volume?
| 32π | |
| 200π | |
| 24π | |
| 48π |
The volume of a cylinder is πr2h:
v = πr2h
v = π(22 x 6)
v = 24π
If angle a = 26° and angle b = 59° what is the length of angle c?
| 64° | |
| 80° | |
| 63° | |
| 95° |
The sum of the interior angles of a triangle is 180°:
180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 26° - 59° = 95°
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.
Which of the following is not true about both rectangles and squares?
the lengths of all sides are equal |
|
the area is length x width |
|
the perimeter is the sum of the lengths of all four sides |
|
all interior angles are right angles |
A rectangle is a parallelogram containing four right angles. Opposite sides (a = c, b = d) are equal and the perimeter is the sum of the lengths of all sides (a + b + c + d) or, comonly, 2 x length x width. The area of a rectangle is length x width. A square is a rectangle with four equal length sides. The perimeter of a square is 4 x length of one side (4s) and the area is the length of one side squared (s2).
If side a = 3, side b = 2, what is the length of the hypotenuse of this right triangle?
| \( \sqrt{20} \) | |
| \( \sqrt{32} \) | |
| \( \sqrt{13} \) | |
| \( \sqrt{113} \) |
According to the Pythagorean theorem, the hypotenuse squared is equal to the sum of the two perpendicular sides squared:
c2 = a2 + b2
c2 = 32 + 22
c2 = 9 + 4
c2 = 13
c = \( \sqrt{13} \)