A cylinder 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