| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.16 |
| Score | 0% | 63% |
The dimensions of this cylinder are height (h) = 6 and radius (r) = 3. What is the volume?
| 20π | |
| 54π | |
| 486π | |
| 180π |
The volume of a cylinder is πr2h:
v = πr2h
v = π(32 x 6)
v = 54π
A(n) __________ is two expressions separated by an equal sign.
formula |
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expression |
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problem |
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equation |
An equation is two expressions separated by an equal sign. The key to solving equations is to 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.
Simplify (5a)(7ab) + (6a2)(9b).
| 180ab2 | |
| 89a2b | |
| -19a2b | |
| 89ab2 |
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.
(5a)(7ab) + (6a2)(9b)
(5 x 7)(a x a x b) + (6 x 9)(a2 x b)
(35)(a1+1 x b) + (54)(a2b)
35a2b + 54a2b
89a2b
Solve for b:
8b - 7 = -8 - 8b
| -\(\frac{1}{16}\) | |
| \(\frac{3}{7}\) | |
| -\(\frac{5}{7}\) | |
| 2\(\frac{1}{2}\) |
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.
8b - 7 = -8 - 8b
8b = -8 - 8b + 7
8b + 8b = -8 + 7
16b = -1
b = \( \frac{-1}{16} \)
b = -\(\frac{1}{16}\)
A cylinder with a radius (r) and a height (h) has a surface area of:
2(π r2) + 2π rh |
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π r2h2 |
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π r2h |
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4π r2 |
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.