Let’s solve each cylinder volume problem one by one.
Remember:
Volume of a Cylinder = 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
Radius = 8 cm, Height = 12 cm
V = π × 8² × 12
= 3.1416 × 64 × 12
= 3.1416 × 768
= 2412.7488 →
2412.75 cm³
*(Note: The worksheet says “cm²” but that’s a typo — volume should be in cubic units, so we’ll write cm³)*
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Problem 2: Top Right
Diameter = 5 m → Radius = 2.5 m, Height = 3 m
V = π × (2.5)² × 3
= 3.1416 × 6.25 × 3
= 3.1416 × 18.75
= 58.905 →
58.91 m³
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Problem 3: Middle Left
Radius = 31 mm, Height = 77 mm
V = π × 31² × 77
= 3.1416 × 961 × 77
First: 961 × 77 = 73997
Then: 3.1416 × 73997 ≈ 232,470.0792 →
232470.08 mm³
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Problem 4: Middle Right
Diameter = 14 cm → Radius = 7 cm, Height = 9 cm
V = π × 7² × 9
= 3.1416 × 49 × 9
= 3.1416 × 441
= 1385.4456 →
1385.45 cm³
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Problem 5: Bottom Left
Radius = 2 cm, Height = 6 cm
V = π × 2² × 6
= 3.1416 × 4 × 6
= 3.1416 × 24
= 75.3984 →
75.40 cm³
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Problem 6: Bottom Right
Radius = 9 m, Height = 6 m
V = π × 9² × 6
= 3.1416 × 81 × 6
= 3.1416 × 486
= 1526.8176 →
1526.82 m³
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Final Answer:
Top Left: 2412.75 cm³
Top Right: 58.91 m³
Middle Left: 232470.08 mm³
Middle Right: 1385.45 cm³
Bottom Left: 75.40 cm³
Bottom Right: 1526.82 m³
Parent Tip: Review the logic above to help your child master the concept of volume cylinder worksheets.
