Acylinder is full at 471 cm³ and has a radius of 5 cm. it currently contains 314 cm³ of water.

what is the difference between the height of the water in the full cylinder and the height when 314 cm³ of water remains in the cylinder? ”

use 3.14 to approximate pi.

The answer is 2 cm

Step 1. Calculate the height of full cylinder (h1 = ?)
Step 2. Calculate the height of cylinder that contains 314 cm³ of water (h2 = ?)
Step 3. Find the difference between the height of the water in the full cylinder and the height when 314 cm³ of water (h1 - h2 = ?)

The volume (V) of the cylinder with radius r and height h is:
V = π * r² * h
So, h = V / (π * r²)

Step 1.
h1 = ?

V1 = 471 cm³
r = 5 cm
π = 3.14

h1 = V1 / (π * r²)
h1 = 471 / (3.14 * 5²)
h1 = 471 / (3.14 * 25)
h1 = 471 / 78.5
h1 = 6 cm

Step 2.
h2 = ?

V2 = 314 cm³
r = 5 cm
π = 3.14

h2 = V2 / (π * r²)
h2 = 314 / (3.14 * 5²)
h2 = 314 / (3.14 * 25)
h2 = 314 / 78.5
h2 = 4 cm

Step 3.
h1 - h2 = 6 - 4 = 2 cm