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wolverine [178]
3 years ago
12

The volume of a cylinder is 4pi x(3) cubic units and its height is x units. Which expression represents the radius of the cylind

er in units? 2x, 4x, 2 pi x^, 4 pi x^
Mathematics
2 answers:
vladimir1956 [14]3 years ago
5 0

Answer:

2x

Step-by-step explanation:

Volume of a cylinder is:

V = πr²h

If V = 4πx³ and h = x, then:

4πx³ = πr²x

4x² = r²

r = 2x

Lina20 [59]3 years ago
4 0

For this case we have that by definition, the volume of a cylinder is given by:

V = \pi * r ^ 2 * h

Where:

r: It's the radio

h: It's the height

We have as data that the volume of the cylinder is:

V = 4 \pi * x ^ 3

They also tell us that the height is "x", then:

4 \pi * x ^ 3 = \pi * r ^ 2 * x

We have similar terms on both sides of the equation:

4x ^ 2 = r ^ 2

We apply root to both sides of the equation:

r = \pm \sqrt {4x ^ 2}\\r = \pm2x

We choose the positive value. Now the radio is 2x

Answer:

2x

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