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Nata [24]
3 years ago
5

Find the volume of a cylinder that has a diameter of 6 and a height of 9. Leave your answer in terms of (pie)

Mathematics
2 answers:
laiz [17]3 years ago
5 0

V = π x r² x h


V= π  x 6² x9

V= 324 π  


Marina86 [1]3 years ago
4 0

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

V = \pi * r ^ 2 * h

Where:

V: Represents the volume

r: Represents the radius of each of the circular caps of the cylinder

h: Represents the height of the cylinder

IF the diameter is 6, then:r = \frac {6} {2} = 3

Then, according to the given data we have:

r = 3\\h = 9

Substituting:

V = \pi * (3) ^ 2 * 9\\V = \pi * 9 * 9\\V = 81 \pi

So, the volume of the cylinder is81 \pi

Answer:

The volume of the cylinder is 81 \pi cubic units


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