ACT Math · Linear equations and inequalities
The formula for the volume of a cone is V = 1/3π r² h. Which equation correctly solves for h?
The formula for the volume of a cone is . Which equation correctly solves for ?
Answer and explanation
Answer: C: h = (3V)/(π r²)
Start with . Multiply both sides by to remove the fraction: . Then divide both sides by : , choice C. Choice B () leaves the in the denominator, though it should multiply . Choice A () multiplies by rather than dividing. Choice D () is the reciprocal of the correct answer. A good check is to substitute back into the formula, which gives .
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