/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Problem 44 Solve each formula for the speci... [FREE SOLUTION] | 91影视

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Chapter 1: Problem 44

Solve each formula for the specified variable. Do you recognize the formula? If so, what does it describe? \(V=\pi r^{2} h\) for \(h\)

Short Answer

Expert verified
The formula \(h = \frac{V}{\pi r^{2}}\) describes the height of a cylinder when the volume, radius, and value of \(\pi\) are known.

Step by step solution

01

Identify the formula.

The formula \(V=\pi r^{2} h\) represents the volume of a cylinder where \(V\) is the volume, \(r\) is the radius of the base, and \(h\) is the height of the cylinder.
02

Isolate the variable 'h'.

To isolate \(h\), divide both sides of the equation by \(\pi r^{2}\). The equation then becomes \(h = \frac{V}{\pi r^{2}}\).
03

Simplify equation.

No further simplification is required

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