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.
Answers
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
Answer: The answer is 2
Im from k12
Step-by-step explanation:
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sorry i couldnt help more its a bit hard im working on it