Question

An icicle it's in the shape of an inverted cone with a diameter of 12 m m and a height of 100 mm. How much Frozen water is in the icicle? Round to the nearest hundredth.

Answer 1

3768 mm ^ 3

Explanation:

We have that the volume of a cone is given by:

V = 1/3 * Ac * h

Where Ac is the area of the circle, we know that the radius is half the diameter then:

r = d / 2

r = 12/2

r = 6

And Ac is equal to:

Ac = pi * r ^ 2

replacing:

Ac = 3.14 * 6 ^ 2

Ac = 113.04

113.04 mm ^ 2 is the area of the circle, replacing the volume form knowing that h = 100

V = 1/3 * 113.04 * 100

V = 3768

Therefore they fit a total of 3768 mm ^ 3