Question

Please help me with this math problem, I can't figure it out!

Answer 1

3769.91 mm³

Explanation:

The shape of icicle is a cone and the cone is inverted . The amount of frozen water in the cone is the volume of the cone.

The volume = 1/3Bh

where

h = height

B = base area

v = 1/3 × πr² × h

r = diameter /2

r = 12/2 = 6 mm

h = 100 mm

v = 1/3 × 36π × 100

v = 1/3 × 36 × 22/7 × 100

v = 79200/21

v = 3769.91 mm³

v = 3769.91 mm³

Answer 2

c. 3769.91 mm³

Explanation:

Data

• diameter, D: 12 mm

• height, h: 100 mm

We are asked to find the volume of the icicle, which is computed with the following formula:

V = (1/3)*B*h

where B is the base of the cone, which is calculated as follows:

B = (π/4)*D²

Replacing it into the previous equation, we get:

V = (1/3)*(π/4)*D²*h

Replacing with data:

V = (1/3)*(π/4)*12²*100

V = 3769.91 mm³