Question

I need help on question 95

Answer 1

Answer:

  h = 3V/(πr²)

Step-by-step explanation:

You are asked to solve a one-step linear equation for h.

Solution

The "one step" is to divide by the coefficient of h.

  $V=\dfrac{1}{3}\pi r^2h\qquad\text{given}\\\\\dfrac{V}{\dfrac{1}{3}\pi r^2}=\dfrac{\dfrac{1}{3}\pi r^2h}{\dfrac{1}{3}\pi r^2}\qquad\text{divide by the coefficient of h}\\\\\boxed{h=\dfrac{3V}{\pi r^2}}\qquad\text{simplify}$

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Additional comment

The equation is "linear" because the variable of interest is h. It has an exponent (degree) of 1. The other "variables" are treated as though they were constants. The equation is conceptually no different from ...

  2 = (5/3)h

which you solve by dividing by 5/3 (or multiplying by 3/5).