SOLUTION: The volume of a solid is given by the formula {{{V=2/3pi r^2(2h-r). Solve the equation for h in terms of r and V. Write your answer as a single simple factor.
Algebra ->
Polynomials-and-rational-expressions
-> SOLUTION: The volume of a solid is given by the formula {{{V=2/3pi r^2(2h-r). Solve the equation for h in terms of r and V. Write your answer as a single simple factor.
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Question 50413: The volume of a solid is given by the formula V=2/3pi r^2(2h-r). Solve the equation for h in terms of r and V. Write your answer as a single simple factor. Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! V=(2/3)pi r^2(2h-r)
r^2(2h-r)=(3/2)V/pi)
r^2(2h-r)=[3V/2pi]
2h=[(3V/(2pi r^2)]+r
h=[(3V/4(pi)r^2]+(r/2)
h=[3V+2(pi)r^3]/[4(pi)r^2]
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Cheers,
Stan H.
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