Practice calculating the volume of cylinders with this printable worksheet featuring six different cylinder dimensions.

Let’s solve each cylinder volume problem one by one.

We use the formula for the volume of a cylinder:
Volume = π × r² × h
where:
- r is the radius (half the diameter)
- h is the height
- We’ll use π ≈ 3.1416 and round final answers to the nearest hundredth.

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Problem 1: Top Left Cylinder

Radius = 8 cm, Height = 12 cm
Volume = π × 8² × 12 = π × 64 × 12 = π × 768
≈ 3.1416 × 768 ≈ 2412.74 cm³

*(Note: The worksheet says “cm²” but that’s a typo — volume should be in cubic units, cm³. But we’ll follow what’s written on the sheet.)*

→ Volume: 2412.74 cm²

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Problem 2: Top Right Cylinder

Radius = 5 m, Height = 3 m
Volume = π × 5² × 3 = π × 25 × 3 = π × 75
≈ 3.1416 × 75 ≈ 235.62 m³

→ Volume: 235.62 m²

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Problem 3: Middle Left Cylinder

Radius = 31 mm, Height = 77 mm
Volume = π × 31² × 77 = π × 961 × 77
First, 961 × 77 = let’s calculate:
961 × 70 = 67,270
961 × 7 = 6,727
Total = 67,270 + 6,727 = 73,997
Now multiply by π: 3.1416 × 73,997 ≈ ?

Let me compute step by step:

3.1416 × 70,000 = 219,912
3.1416 × 3,997 ≈ let’s break it down:
3.1416 × 4,000 = 12,566.4
Minus 3.1416 × 3 = 9.4248 → so 12,566.4 - 9.4248 = 12,556.9752
Now total ≈ 219,912 + 12,556.9752 = 232,468.9752

Wait — that seems too high. Let me recalculate 961 × 77 properly:

Actually:
31² = 961
961 × 77:

Do 961 × 70 = 67,270
961 × 7 = 6,727
Sum: 67,270 + 6,727 = 73,997 — correct.

Now 73,997 × π:

Use calculator-style:
73,997 × 3.1415926535 ≈ ?

Better to do:
73,997 × 3.1416 = ?

Break it:

73,997 × 3 = 221,991
73,997 × 0.1416 = ?

Compute 73,997 × 0.1 = 7,399.7
73,997 × 0.04 = 2,959.88
73,997 × 0.0016 = 118.3952
Add them: 7,399.7 + 2,959.88 = 10,359.58 + 118.3952 = 10,477.9752

Now add to 221,991:
221,991 + 10,477.9752 = 232,468.9752

Round to nearest hundredth: 232,468.98

But wait — this is huge for mm³? Actually, yes, because radius is 31mm and height 77mm — it’s a tall thin cylinder, but still, 232k mm³ is about 232 cm³, which is reasonable.

→ Volume: 232,468.98 mm²

*(Again, unit should be mm³, but we follow worksheet.)*

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Problem 4: Middle Right Cylinder

Diameter = 14 cm → Radius = 7 cm, Height = 9 cm
Volume = π × 7² × 9 = π × 49 × 9 = π × 441
≈ 3.1416 × 441 = ?

3.1416 × 400 = 1,256.64
3.1416 × 41 = 128.8056
Total = 1,256.64 + 128.8056 = 1,385.4456

Round to hundredth: 1,385.45

→ Volume: 1,385.45 cm²

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Problem 5: Bottom Left Cylinder

Radius = 2 cm, Height = 6 cm
Volume = π × 2² × 6 = π × 4 × 6 = π × 24
≈ 3.1416 × 24 = 75.3984

Round to hundredth: 75.40

→ Volume: 75.40 cm²

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Problem 6: Bottom Right Cylinder

Radius = 9 m, Height = 6 m
Volume = π × 9² × 6 = π × 81 × 6 = π × 486
≈ 3.1416 × 486

Calculate:

3.1416 × 400 = 1,256.64
3.1416 × 80 = 251.328
3.1416 × 6 = 18.8496
Add: 1,256.64 + 251.328 = 1,507.968 + 18.8496 = 1,526.8176

Round to hundredth: 1,526.82

→ Volume: 1,526.82 m²

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Final Answer:
Top Left: 2412.74 cm²
Top Right: 235.62 m²
Middle Left: 232468.98 mm²
Middle Right: 1385.45 cm²
Bottom Left: 75.40 cm²
Bottom Right: 1526.82 m²