| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.59 |
| Score | 0% | 72% |
The dimensions of this cylinder are height (h) = 5 and radius (r) = 9. What is the volume?
| 200π | |
| 100π | |
| 150π | |
| 405π |
The volume of a cylinder is πr2h:
v = πr2h
v = π(92 x 5)
v = 405π
Solve for z:
z2 - 4z - 45 = 0
| -6 or -8 | |
| 8 or -3 | |
| 1 or -8 | |
| -5 or 9 |
The first step to solve a quadratic equation that's set to zero is to factor the quadratic equation:
z2 - 4z - 45 = 0
(z + 5)(z - 9) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (z + 5) or (z - 9) must equal zero:
If (z + 5) = 0, z must equal -5
If (z - 9) = 0, z must equal 9
So the solution is that z = -5 or 9
A quadrilateral is a shape with __________ sides.
3 |
|
2 |
|
5 |
|
4 |
A quadrilateral is a shape with four sides. The perimeter of a quadrilateral is the sum of the lengths of its four sides.
A right angle measures:
90° |
|
45° |
|
360° |
|
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.
A cylinder with a radius (r) and a height (h) has a surface area of:
π r2h2 |
|
π r2h |
|
4π r2 |
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2(π r2) + 2π rh |
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.