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VashaNatasha [74]
3 years ago
6

The volume of a cylinder is 9080 in.³ the same height of the cylinder is 20 inches what is the radius of the cylinder express yo

ur answer in the nearest hundredth
Mathematics
2 answers:
insens350 [35]3 years ago
7 0

Answer:

12.02 inches

Step-by-step explanation:

recall, volume of a cylinder is given by

V = πr²h

where r is the radius of the cylinder and h = the height

hence

9080 = π x r² x 20

r² = 9080 ÷ 20π = 144.513

r = √144.513 = 12.02 inches

dem82 [27]3 years ago
7 0

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

V = \pi * r ^ 2 * h

Where:

h: It is the height of the cylinder

A: It is the radius of the cylinder

According to the data we have:

V = 9080 \ in ^ 3\\h = 20 \ in

Substituting we have:

9080 = \pi * r ^ 2 * 20

Taking \pi = 3.14

9080 = 62.80r ^ 2\\r ^ 2 = 144.59\\r = \pm \sqrt {144.59}

We choose the positive value:

r = \sqrt {144.59}\\r = 12.02

Thus, the radius of the cylinder is r = 12.02 \ in

Answer:

12.02 \ in

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