Question

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?

Answer 1

The answer is 11664pimm^3

Explanation:

Answer 2

Micah can put 61072.56 ml³ of water in his cup.

Explanation:

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

`V = (h\pi r^(2))/(3)`

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
`r = 36`

Height of 45 ml, so
`h = 45`

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

So

`V = (h\pi r^(2))/(3)`

`V = (45\pi*(36)^(2))/(3)`

`V = 61072.56`

Micah can put 61072.56 ml³ of water in his cup.