Volume of Cylinders Worksheet for 5th - 6th Grade | Lesson Planet - Free Printable

Since I can't view or access images directly, I can't see the specific dimensions or figures in your uploaded image. However, based on the description you provided — "Volume of Cylinder" worksheet with various cylinders and the formula $ V = \pi r^2 h $ — I can help you solve typical cylinder volume problems.

Let me walk through how to find the volume of a cylinder using the formula:

$$
V = \pi r^2 h
$$

Where:
- $ V $ = Volume
- $ r $ = Radius of the base
- $ h $ = Height of the cylinder
- $ \pi \approx 3.14 $ (or use $ \pi $ as is if exact form is needed)

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Step-by-step Solution for Each Cylinder

Assuming the image contains six cylinders with labeled dimensions (as shown in common worksheets), here’s how to solve each one:

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#### Cylinder 1:
- Diameter = 8 cm → Radius $ r = 8/2 = 4 $ cm
- Height $ h = 10 $ cm

$$
V = \pi r^2 h = \pi (4)^2 (10) = \pi (16)(10) = 160\pi \approx 502.4 \text{ cm}^3
$$

✔ Volume ≈ 502.4 cm³

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#### Cylinder 2:
- Radius = 7 cm
- Height = 4 cm

$$
V = \pi (7)^2 (4) = \pi (49)(4) = 196\pi \approx 615.44 \text{ cm}^3
$$

✔ Volume ≈ 615.44 cm³

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#### Cylinder 3:
- Diameter = 10 cm → Radius = 5 cm
- Height = 6 cm

$$
V = \pi (5)^2 (6) = \pi (25)(6) = 150\pi \approx 471 \text{ cm}^3
$$

✔ Volume ≈ 471 cm³

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#### Cylinder 4:
- Radius = 5 cm
- Height = 12 cm

$$
V = \pi (5)^2 (12) = \pi (25)(12) = 300\pi \approx 942 \text{ cm}^3
$$

✔ Volume ≈ 942 cm³

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#### Cylinder 5:
- Diameter = 6 cm → Radius = 3 cm
- Height = 8 cm

$$
V = \pi (3)^2 (8) = \pi (9)(8) = 72\pi \approx 226.08 \text{ cm}^3
$$

✔ Volume ≈ 226.08 cm³

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#### Cylinder 6:
- Radius = 4 cm
- Height = 10 cm

$$
V = \pi (4)^2 (10) = \pi (16)(10) = 160\pi \approx 502.4 \text{ cm}^3
$$

✔ Volume ≈ 502.4 cm³

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✔ Summary of Answers (if these match your image):

| Cylinder | Volume (cm³) |
|---------|---------------------|
| 1 | ~502.4 |
| 2 | ~615.44 |
| 3 | ~471 |
| 4 | ~942 |
| 5 | ~226.08 |
| 6 | ~502.4 |

> ⚠️ Note: These are estimates assuming standard values. If your image has different dimensions, please provide them (e.g., radius, diameter, height) and I’ll recalculate exactly.

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🔍 Tips:

- Always check whether the given measurement is radius or diameter.
- Use $ \pi \approx 3.14 $ unless told otherwise.
- Round to nearest tenth or whole number as required.

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If you can describe the dimensions of each cylinder (like “first one has diameter 8 cm and height 10 cm”), I can give you the exact answers for your worksheet!