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Given V=2pir to the second h solve for h

2 Answers

2 votes

Final answer:

To solve for h in the equation V=2πr^2h, divide the volume V by 2πr^2.

Step-by-step explanation:

The student is asked to solve for h in the volume formula for a cylinder, V = 2πr^2h. To isolate h, you would follow these steps:

  1. Divide each side of the equation by 2πr^2 to get h = V / (2πr^2).

So, h equals the volume V, divided by the product of 2, pi (π), and the square of the radius r^2.

User Casibbald
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2 votes
It'd be best if you were able to write this whole question symbolically.
If you want to write it verbally, please use parentheses:

V = 2pir to the second h ought to be V = 2*pi*r^2 *h, and you are to solve for h. You could also write V =2(pi)(r^2)(h), which would be clearer still.

If you want a formula for h, then please divide both sides of this equation by
2(pi)(r^2).
V
Result: h = -----------------
2(pi)(r^2)
User Thetont
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8.7k points