Questions: The formula for the volume of a cylinder is V = πr^2 h. Solve V = πr^2 h for h, the height of the cylinder. A. h = πV / r^2 B. h = πr^2 / V C. h = π / Vr^2 D. h = V / πr^2

The formula for the volume of a cylinder is V = πr^2 h. Solve V = πr^2 h for h, the height of the cylinder. A. h = πV / r^2 B. h = πr^2 / V C. h = π / Vr^2 D. h = V / πr^2
Transcript text: Literal Equations: Mastery Test Google Chrome Help f2.app.edmentum.com/assessments-delivery/ua/mt/launch/1315/45793487/aHROcHM Previous 3 Next Literal Equations: Mastery Test 3 The formula for the volume of a cylinder is $V=\pi r^{2} h$. Solve $V=\pi r^{2} h$ for $h$, the height of the cylinder. A. $h=\frac{\pi V}{r^{2}}$ B. $\quad h=\frac{\pi r^{2}}{V}$ C. $h=\frac{\pi}{V r^{2}}$ D. $h=\frac{V}{\pi r^{2}}$ Reset © 2025 Edmentum. All rights reserved. Type here to search
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Solution

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Solution Steps

Step 1: Start with the given equation

The formula for the volume of a cylinder is given as: \[ V = \pi r^{2} h \]

Step 2: Isolate \( h \) on one side

To solve for \( h \), divide both sides of the equation by \( \pi r^{2} \): \[ \frac{V}{\pi r^{2}} = h \]

Step 3: Rewrite the equation

The equation can be rewritten as: \[ h = \frac{V}{\pi r^{2}} \]

Final Answer

The correct answer is D: \( \boxed{h = \frac{V}{\pi r^{2}}} \)

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