An icicle is in the shape of an inverted cone with a diameter of 9 mm and a height of 27 mm. In cubic millimeters, how much frozen water is in the icicle?

Respuesta :

Answer:

572.27 mm³

Step-by-step explanation:

Volume = 1/3πr²h

1/3 * 3.14 * (4.5)² * 27 = 572.27 mm³

Answer: The icicle is in the shape of an inverted cone with a diameter of 9 mm and a height of 27 mm. To find how much in cubic millimetres the frozen water is in the icicle can be calculated below.

In other words the question want us to find the volume of the cylinder. The volume of the cone can be represented as follows:

volume of a cylinder = 1/3πr²h

where

r = radius

h = height

diameter = 9 mm

height = 27 mm

r = diameter/2 = 9/2 = 4.5

volume = πr²h

volume = 1/3 × 3.14 × 4.5² × 27

volume = 1/3 × 3.14 × 20.25 × 27

volume = 1/3 × 63.585 × 27

volume = 1716.795/3

volume = 572.265 mm³

volume ≈ 572.27 mm³

Step-by-step explanation: