To find the volume of a cylinder, we use the formula:
$$V = \pi \times r^2 \times h$$
Where:
* $\pi$ (pi) is approximately
3.14
* $r$ is the
radius of the base
* $h$ is the
height (or length) of the cylinder
We will calculate the volume for each problem step-by-step. Remember to round your answers to the nearest tenth as requested.
---
1. Radius = 4 cm, Height = 12 cm
* Step 1: Square the radius ($4 \times 4 = 16$).
* Step 2: Multiply by height ($16 \times 12 = 192$).
* Step 3: Multiply by pi ($192 \times 3.14 = 602.88$).
* Step 4: Round to the nearest tenth. The second decimal is 8, so we round up.
*
Answer: 602.9 cm³
2. Diameter = 6 mm, Height = 20 mm
* *Note: The image shows the full width (diameter) is 6 mm. We must divide by 2 to get the radius.*
* Radius = $6 / 2 = 3$ mm.
* Step 1: Square the radius ($3 \times 3 = 9$).
* Step 2: Multiply by height ($9 \times 20 = 180$).
* Step 3: Multiply by pi ($180 \times 3.14 = 565.2$).
*
Answer: 565.2 mm³
3. Diameter = 5 m, Height = 15 m
* *Note: The line goes across the whole circle, so 5 m is the diameter.*
* Radius = $5 / 2 = 2.5$ m.
* Step 1: Square the radius ($2.5 \times 2.5 = 6.25$).
* Step 2: Multiply by height ($6.25 \times 15 = 93.75$).
* Step 3: Multiply by pi ($93.75 \times 3.14 = 294.375$).
* Step 4: Round to the nearest tenth.
*
Answer: 294.4 m³
4. Diameter = 3 in, Height = 10 in
* *Note: The line indicates the diameter is 3 inches.*
* Radius = $3 / 2 = 1.5$ in.
* Step 1: Square the radius ($1.5 \times 1.5 = 2.25$).
* Step 2: Multiply by height ($2.25 \times 10 = 22.5$).
* Step 3: Multiply by pi ($22.5 \times 3.14 = 70.65$).
* Step 4: Round to the nearest tenth.
*
Answer: 70.7 in³
5. Diameter = 8 cm, Height = 4 cm
* *Note: The red dot marks the center, and the line goes all the way across, so 8 cm is the diameter.*
* Radius = $8 / 2 = 4$ cm.
* Step 1: Square the radius ($4 \times 4 = 16$).
* Step 2: Multiply by height ($16 \times 4 = 64$).
* Step 3: Multiply by pi ($64 \times 3.14 = 200.96$).
* Step 4: Round to the nearest tenth.
*
Answer: 201.0 cm³
6. Radius = 3 mm, Height = 9 mm
* *Note: The line starts from the edge and stops at the center dot, so 3 mm is the radius.*
* Step 1: Square the radius ($3 \times 3 = 9$).
* Step 2: Multiply by height ($9 \times 9 = 81$).
* Step 3: Multiply by pi ($81 \times 3.14 = 254.34$).
* Step 4: Round to the nearest tenth.
*
Answer: 254.3 mm³
7. Radius = 10 m, Height = 3 m
* Step 1: Square the radius ($10 \times 10 = 100$).
* Step 2: Multiply by height ($100 \times 3 = 300$).
* Step 3: Multiply by pi ($300 \times 3.14 = 942$).
*
Answer: 942.0 m³
8. Radius = 4 mm, Height = 16 mm
* Step 1: Square the radius ($4 \times 4 = 16$).
* Step 2: Multiply by height ($16 \times 16 = 256$).
* Step 3: Multiply by pi ($256 \times 3.14 = 803.84$).
* Step 4: Round to the nearest tenth.
*
Answer: 803.8 mm³
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Final Answer:
1. 602.9 cm³
2. 565.2 mm³
3. 294.4 m³
4. 70.7 in³
5. 201.0 cm³
6. 254.3 mm³
7. 942.0 m³
8. 803.8 mm³
Parent Tip: Review the logic above to help your child master the concept of volume of cylinder worksheet.
