To solve this problem, we need to calculate the
volume of each cylinder shown in the image. The formula for the volume of a cylinder is:
$$
V = \pi r^2 h
$$
Where:
- $ V $ is the volume,
- $ r $ is the radius of the base,
- $ h $ is the height of the cylinder,
- $ \pi \approx 3.14 $ (we'll use this approximation unless otherwise specified).
Let’s go through each cylinder one by one.
---
1. Cylinder 1
- Radius $ r = 4 $ cm
- Height $ h = 8 $ cm
$$
V = \pi r^2 h = 3.14 \times (4)^2 \times 8 = 3.14 \times 16 \times 8 = 3.14 \times 128 = 401.92 \text{ cm}^3
$$
✔ Volume: 401.92 cm³
---
2. Cylinder 2
- Radius $ r = 7 $ ft
- Height $ h = 8 $ ft
$$
V = \pi r^2 h = 3.14 \times (7)^2 \times 8 = 3.14 \times 49 \times 8 = 3.14 \times 392 = 1,230.88 \text{ ft}^3
$$
✔ Volume: 1,230.88 ft³
---
3. Cylinder 3
- Radius $ r = 5 $ cm
- Height $ h = 4 $ cm
$$
V = \pi r^2 h = 3.14 \times (5)^2 \times 4 = 3.14 \times 25 \times 4 = 3.14 \times 100 = 314 \text{ cm}^3
$$
✔ Volume: 314 cm³
---
4. Cylinder 4
- Radius $ r = 4 $ cm
- Height $ h = 8 $ cm
$$
V = \pi r^2 h = 3.14 \times (4)^2 \times 8 = 3.14 \times 16 \times 8 = 3.14 \times 128 = 401.92 \text{ cm}^3
$$
✔ Volume: 401.92 cm³
---
5. Cylinder 5
- Radius $ r = 5 $ cm
- Height $ h = 7 $ cm
$$
V = \pi r^2 h = 3.14 \times (5)^2 \times 7 = 3.14 \times 25 \times 7 = 3.14 \times 175 = 549.5 \text{ cm}^3
$$
✔ Volume: 549.5 cm³
---
6. Cylinder 6
- Radius $ r = 3 $ cm
- Height $ h = 6 $ cm
$$
V = \pi r^2 h = 3.14 \times (3)^2 \times 6 = 3.14 \times 9 \times 6 = 3.14 \times 54 = 169.56 \text{ cm}^3
$$
✔ Volume: 169.56 cm³
---
✔ Final Answers:
| Cylinder | Volume |
|--------|--------|
| 1 | 401.92 cm³ |
| 2 | 1,230.88 ft³ |
| 3 | 314 cm³ |
| 4 | 401.92 cm³ |
| 5 | 549.5 cm³ |
| 6 | 169.56 cm³ |
---
📝 Notes:
- Make sure units are consistent (e.g., cm and cm, or ft and ft).
- If you're asked to round, usually to
two decimal places.
- Remember:
radius, not diameter — if given diameter, divide by 2.
Let me know if you'd like this as a printable answer sheet!
Parent Tip: Review the logic above to help your child master the concept of volume of cylinders worksheet answers.
