Volume ws | PDF - Free Printable

To solve this problem, we need to use the water displacement method. This means we look at how much the water level rises when we put the rock in the cylinder. The difference between the final water level and the initial water level tells us the volume of the rock.

Let’s go step by step for each pair of cylinders.

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Top Left Pair:

- First cylinder (before rock): Water is at 30 mL.
- Second cylinder (after rock): Water is at 40 mL.
- Volume of rock = 40 – 30 = 10 mL

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Top Right Pair:

- First cylinder: Water is at 35 mL.
- Second cylinder: Water is at 40 mL.
- Volume of rock = 40 – 35 = 5 mL

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Bottom Left Pair:

- First cylinder: Water is at 40 mL.
- Second cylinder: Water is at 50 mL? Wait — let’s check the image again.

Actually, looking carefully:

In bottom left:
- First cylinder: Water line is at 40 mL.
- Second cylinder: Water line is at 50 mL? But the scale only goes up to 60, and the markings are every 10 mL? Let me recheck.

Wait — actually, in the bottom left pair:

First cylinder: water is at 40 mL.

Second cylinder: water is at 50 mL? But the image shows the second cylinder has water at 50? No — let’s look again.

Actually, in the bottom left:

First cylinder: water is at 40 mL.

Second cylinder: water is at 50 mL? But the scale says 20, 40, 60 — so each major mark is 20 mL, and there are 4 small marks between them → each small mark = 5 mL.

So:

Bottom Left:

First cylinder: water is at 40 mL (exactly on the 40 line).

Second cylinder: water is at 50 mL? Wait — the water level is halfway between 40 and 60? No — it’s at the first small mark above 40 → that’s 45 mL? Or is it?

Wait — let’s count the lines.

From 20 to 40: there are 4 intervals → so each interval is 5 mL.

So:

Bottom Left:

First cylinder: water is at 40 mL.

Second cylinder: water is at 50 mL? Actually, looking at the image, the water level in the second cylinder is at the 50 mL mark? But the scale doesn’t have 50 labeled — it has 20, 40, 60.

Between 40 and 60, there are 4 small lines → so each small line = 5 mL.

So:

- 40 + 5 = 45
- 40 + 10 = 50
- 40 + 15 = 55
- 40 + 20 = 60

In bottom left second cylinder, water is at the second small line above 40 → that’s 50 mL.

So:

Volume = 50 – 40 = 10 mL

Wait — but let me double-check all.

Actually, I think I made a mistake. Let me re-express with clear reading.

Looking at the image again (mentally):

Top Left:
- Left cylinder: water at 30 mL
- Right cylinder: water at 40 mL → difference = 10 mL

Top Right:
- Left: 35 mL
- Right: 40 mL → difference = 5 mL

Bottom Left:
- Left: 40 mL
- Right: 50 mL? But the scale: from 20 to 40 is 20 mL, divided into 4 parts → 5 mL each.

In bottom left right cylinder, water is at the line that is 10 mL above 40? Let’s see: if 40 to 60 has 4 lines, then:

Line 1 above 40: 45

Line 2: 50

Line 3: 55

Line 4: 60

In bottom left, the water in the second cylinder is at the second line above 40 → so 50 mL.

Thus, 50 – 40 = 10 mL.

But wait — the object looks like a cylinder, not a rock, but the problem says “rock” — probably just a shape.

Now bottom right:

First cylinder: water at 25 mL? Scale: 20 to 30, with 4 lines → each 2.5 mL? No.

Scale: 20, 25, 30? Wait, no — in bottom right, the left cylinder has marks at 20 and 25? Actually, looking:

Bottom right left cylinder: water is at 25 mL? The scale shows 20 and 25? No — it shows 20 and then next is 25? But typically, it should be consistent.

Actually, in bottom right:

Left cylinder: water is at 25 mL? Let's see the markings.

The scale goes 20, then 25, then 30? But that would mean each small mark is 1 mL? No.

Better to assume: between 20 and 30, there are 4 small lines → so each small line = 2.5 mL? That seems odd.

Wait — perhaps I misread.

Standard way: in graduated cylinders, the difference between labeled numbers is divided equally.

In bottom right:

Left cylinder: water level is at 25 mL? Actually, looking at the image description, it says "25" is labeled, and water is at 25.

Right cylinder: water is at 30 mL? But let's see.

Actually, in bottom right:

Left cylinder: water is at 25 mL (on the 25 line).

Right cylinder: water is at 30 mL? But the scale has 25 and 30, and water is at 30.

So difference = 30 – 25 = 5 mL.

But let's confirm all.

I think I need to list clearly:

After careful review:

Pair 1 (Top Left):
- Initial: 30 mL
- Final: 40 mL
- Rock volume: 40 - 30 = 10 mL

Pair 2 (Top Right):
- Initial: 35 mL
- Final: 40 mL
- Rock volume: 40 - 35 = 5 mL

Pair 3 (Bottom Left):
- Initial: 40 mL
- Final: 50 mL (since water is at the second small mark above 40, and each mark is 5 mL, so 40 + 10 = 50)
- Rock volume: 50 - 40 = 10 mL

Pair 4 (Bottom Right):
- Initial: 25 mL
- Final: 30 mL
- Rock volume: 30 - 25 = 5 mL

Yes, that makes sense.

So the answers are:

Top left: 10 mL
Top right: 5 mL
Bottom left: 10 mL
Bottom right: 5 mL

Now, to present the final answer as per the worksheet, which has blanks under each pair.

So for each pair, we write the volume of the rock.

Final Answer:

10, 5, 10, 5

But let's write it as the worksheet expects.

Since the worksheet has four pairs, and for each, one blank for the rock volume.

So:

First pair (top left): 10 mL
Second pair (top right): 5 mL
Third pair (bottom left): 10 mL
Fourth pair (bottom right): 5 mL

In the response, since it's multiple, I'll list them in order.

But the instruction says "provide only the final correct answer" — and since it's multiple values, I should list them.

Perhaps as: 10, 5, 10, 5

But to be precise, let's see the worksheet layout.

The worksheet has:

Top row: two pairs, each with two blanks? No, looking back:

"Calculate the volume of each in mL and then determine the volume of the rock in the second graduated cylinder"

So for each pair, there are two blanks: one for the first cylinder volume, one for the rock volume? But the directions say "calculate the volume of each in mL" — meaning each cylinder's reading, and then "determine the volume of the rock".

But in the image, under each cylinder, there is a blank, and under the pair, another blank? Let me think.

Actually, in the image description, it shows for each pair, there are two lines under the cylinders, and then a line under the pair? But in text, it's hard.

Looking at the user's image description:

It says: "under each cylinder" there is a blank, and then under the pair, another blank? But in standard worksheets, often they want the initial volume, final volume, and then rock volume.

But the directions say: "Calculate the volume of each in mL" — so probably for each cylinder, write its reading, and then for the rock, write the difference.

But in the image, for each pair, there are three blanks? Let me count.

From the text: "under each cylinder" — so for two cylinders, two blanks, and then "and then determine the volume of the rock" — so a third blank for the rock.

But in the user's message, it shows for each pair, there are two lines under the cylinders, and then a line under the pair? Actually, in the text representation, it's:

For top left:
[blank] under first cylinder
[blank] under second cylinder
then a line under the pair? But it's written as:

"
__________
__________
"

for each pair? No.

Looking at the user's input:

After the first pair of cylinders, it has:

"__________
__________ "

and similarly for others.

But in context, probably the first blank is for the first cylinder's volume, the second blank for the second cylinder's volume, and then perhaps the rock volume is implied or on another line.

The directions say: "Calculate the volume of each in mL and then determine the volume of the rock"

So likely, for each pair, students are to write:

- Volume of first cylinder (initial)
- Volume of second cylinder (final)
- Volume of rock (difference)

But in the image, how many blanks are there per pair?

From the text: for each pair, there are two lines shown, but perhaps it's for the two cylinders, and the rock volume is to be calculated separately.

To simplify, since the question is to find the rock volume for each pair, and that's the main task, I'll provide the rock volumes.

Moreover, in the final answer, I think they expect the rock volumes.

So for the four pairs, the rock volumes are 10, 5, 10, 5 mL respectively.

So Final Answer: 10, 5, 10, 5

But to match the worksheet, perhaps list them in order.

Since the worksheet has P6, and four problems, I'll provide the answers as:

First pair: 10 mL
Second pair: 5 mL
Third pair: 10 mL
Fourth pair: 5 mL

But for the boxed answer, I'll write the numbers.

Given that, I think the expected final answer is the four rock volumes.

So:

Final Answer: 10, 5, 10, 5

But let's confirm the bottom left again.

In bottom left:

First cylinder: water at 40 mL

Second cylinder: water at 50 mL? Is that correct?

Scale: from 20 to 40 is 20 mL, with 4 intervals, so each interval 5 mL.

Water in second cylinder is at the line that is two intervals above 40? 40 + 5 + 5 = 50, yes.

Similarly, bottom right:

First cylinder: water at 25 mL (since it's on the 25 line)

Second cylinder: water at 30 mL (on the 30 line)

Difference: 5 mL.

Yes.

So all good.