Volume of a Cylinder (Worksheets) - Free Printable

Let’s solve each problem one by one. We’ll use the formula for the volume of a cylinder:

Volume = π × r² × h

We’re told to use 3.14 for π, and to round to the nearest tenth if needed, and always include units.

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Problem 1:

Cylinder with radius = 5 mm, height = 15 mm

Step 1: Square the radius → 5² = 25
Step 2: Multiply by height → 25 × 15 = 375
Step 3: Multiply by π (3.14) → 375 × 3.14 = ?

Let’s calculate that:

375 × 3 = 1125
375 × 0.14 = 52.5
Total = 1125 + 52.5 = 1177.5

Units are mm³ (cubic millimeters)

✔ Answer: 1177.5 mm³

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Problem 2:

Radius = 4 cm, height = 35 cm

Step 1: Square radius → 4² = 16
Step 2: Multiply by height → 16 × 35 = 560
Step 3: Multiply by 3.14 → 560 × 3.14

Break it down:

560 × 3 = 1680
560 × 0.14 = 78.4
Total = 1680 + 78.4 = 1758.4

Units: cm³

✔ Answer: 1758.4 cm³

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Problem 3:

Radius = 5 mm, height = 12 mm

Step 1: 5² = 25
Step 2: 25 × 12 = 300
Step 3: 300 × 3.14 = ?

300 × 3 = 900
300 × 0.14 = 42
Total = 900 + 42 = 942.0

Already at tenths place — no rounding needed.

Units: mm³

✔ Answer: 942.0 mm³

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Problem 4:

This one shows a slanted cylinder, but volume doesn’t change if it’s tilted — we still use same formula!

Radius = 2 m, height = 15 m

Step 1: 2² = 4
Step 2: 4 × 15 = 60
Step 3: 60 × 3.14 = ?

60 × 3 = 180
60 × 0.14 = 8.4
Total = 180 + 8.4 = 188.4

Units: m³

✔ Answer: 188.4 m³

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Final Answer:
1. 1177.5 mm³
2. 1758.4 cm³
3. 942.0 mm³
4. 188.4 m³