Micah is filling up his cone-shaped cup with water. The cup (as shown) has a diameter of 72 millimeters and a slant height of 45 millimeters. How much water can Micah fill in his cup?

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Answer:

Micah can put 61072.56 ml³ of water in his cup.

Step-by-step explanation:

The volume of a cone is given by the following formula:

[tex]V = \frac{h\pi r^{2}}{3}[/tex]

In which h is the height and r is the radius.

The radius is half the diameter.

In this question:

Radius of 72/2 = 36 ml. So [tex]r = 36[/tex]

Height of 45 ml, so [tex]h = 45[/tex]

The dimensions are in ml, so the volume will be in ml³.

So

[tex]V = \frac{h\pi r^{2}}{3}[/tex]

[tex]V = \frac{45\pi*(36)^{2}}{3}[/tex]

[tex]V = 61072.56[/tex]

Micah can put 61072.56 ml³ of water in his cup.

Answer:

The answer is 11664pimm^3

Step-by-step explanation:

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