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Solve for the specified variable or expression. $…

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Problem 1 Problem 2 Problem 3 Problem 4 Problem 5 Problem 6 Problem 7 Problem 8 Problem 9 Problem 10 Problem 11 Problem 12 Problem 13 Problem 14 Problem 15 Problem 16 Problem 17 Problem 18 Problem 19 Problem 20 Problem 21 Problem 22 Problem 23 Problem 24 Problem 25 Problem 26 Problem 27 Problem 28 Problem 29 Problem 30 Problem 31 Problem 32 Problem 33 Problem 34 Problem 35 Problem 36 Problem 37 Problem 38 Problem 39 Problem 40 Problem 41 Problem 42 Problem 43 Problem 44 Problem 45 Problem 46 Problem 47 Problem 48 Problem 49 Problem 50 Problem 51 Problem 52 Problem 53 Problem 54 Problem 55 Problem 56 Problem 57 Problem 58 Problem 59 Problem 60 Problem 61 Problem 62 Problem 63 Problem 64 Problem 65 Problem 66 Problem 67 Problem 68 Problem 69 Problem 70 Problem 71 Problem 72 Problem 73 Problem 74 Problem 75 Problem 76 Problem 77 Problem 78 Problem 79 Problem 80 Problem 81 Problem 82 Problem 83 Problem 84 Problem 85 Problem 86 Problem 87 Problem 88 Problem 89 Problem 90 Problem 91 Problem 92 Problem 93 Problem 94 Problem 95 Problem 96 Problem 97 Problem 98 Problem 99 Problem 100 Problem 101 Problem 102 Problem 103 Problem 104 Problem 105 Problem 106 Problem 107 Problem 108 Problem 109 Problem 110 Problem 111 Problem 112 Problem 113 Problem 114 Problem 115 Problem 116 Problem 117 Problem 118 Problem 119 Problem 120

Problem 60 Medium Difficulty

Solve for the specified variable or expression.
$$
V=\pi r^{2} h \text { for } h
$$

Answer

$\frac{V}{\pi r^{2}}$

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Elementary and Intermediate Algebra

Chapter 2

Equations, Inequalities, and Problem Solving

Section 4

Formulas

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Video Transcript

in this problem forgiven the equation. The equals pi r squared h on. We're being asked to solve it for H. In other words, were being asked to isolate the variable of age on one side of the equation. Well, let's take a look at what's happening on the right hand side of the equation. While we're multiplying h by pi r squared. So to get each by itself, we need to do the opposite. Well, the opposite of multiplying by pi r squared would be to divide by pi r squared. So we're going to divide both sides of our equation by pi r squared So on the left hand side of the equation, we have the divided by pi r squared Well, that cannot be simplified, So we'll still have p v excuse me divided by pi r squared. Now let's look at the right hand side the equation. We first have pi divided by pi. Well, that would be equal to one. So those terms cancel each other out. We also have our squared getting divided by R squared, which is also equal to one. So those terms also cancel out. If you know this, we're just left with H And now we've solved our equation for each. So what we found is that the divided by pi r squared is equal to each.

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Elementary and Intermediate Algebra

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