To find the volume of a cylinder, we use the formula:
Volume = $\pi \times r^2 \times h$
Where:
* $\pi$ (pi) is approximately
3.14
* $r$ is the radius of the base
* $h$ is the height
We will calculate the volume for each problem, rounding the final answer to the nearest tenth and including the correct units (cubic centimeters $cm^3$, cubic millimeters $mm^3$, or cubic meters $m^3$).
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Step-by-Step Calculations:
1. Radius = 4 cm, Height = 12 cm
* Formula: $V = 3.14 \times 4^2 \times 12$
* Square the radius: $4^2 = 16$
* Multiply: $3.14 \times 16 \times 12$
* $3.14 \times 192 = 602.88$
* Round to nearest tenth:
602.9
* Units: $cm^3$
2. Radius = 6 mm, Height = 20 mm
* Formula: $V = 3.14 \times 6^2 \times 20$
* Square the radius: $6^2 = 36$
* Multiply: $3.14 \times 36 \times 20$
* $3.14 \times 720 = 2260.8$
* Round to nearest tenth:
2260.8
* Units: $mm^3$
3. Radius = 5 m, Height = 15 m
* Formula: $V = 3.14 \times 5^2 \times 15$
* Square the radius: $5^2 = 25$
* Multiply: $3.14 \times 25 \times 15$
* $3.14 \times 375 = 1177.5$
* Round to nearest tenth:
1177.5
* Units: $m^3$
4. Radius = 3 in, Height = 10 in *(Note: The image uses "in" for inches)*
* Formula: $V = 3.14 \times 3^2 \times 10$
* Square the radius: $3^2 = 9$
* Multiply: $3.14 \times 9 \times 10$
* $3.14 \times 90 = 282.6$
* Round to nearest tenth:
282.6
* Units: $in^3$
5. Radius = 8 cm, Height = 4 cm
* Formula: $V = 3.14 \times 8^2 \times 4$
* Square the radius: $8^2 = 64$
* Multiply: $3.14 \times 64 \times 4$
* $3.14 \times 256 = 803.84$
* Round to nearest tenth:
803.8
* Units: $cm^3$
6. Radius = 3 mm, Height = 9 mm
* Formula: $V = 3.14 \times 3^2 \times 9$
* Square the radius: $3^2 = 9$
* Multiply: $3.14 \times 9 \times 9$
* $3.14 \times 81 = 254.34$
* Round to nearest tenth:
254.3
* Units: $mm^3$
7. Radius = 1 cm, Height = 20 cm
* Formula: $V = 3.14 \times 1^2 \times 20$
* Square the radius: $1^2 = 1$
* Multiply: $3.14 \times 1 \times 20$
* $3.14 \times 20 = 62.8$
* Round to nearest tenth:
62.8
* Units: $cm^3$
8. Radius = 10 m, Height = 3 m
* Formula: $V = 3.14 \times 10^2 \times 3$
* Square the radius: $10^2 = 100$
* Multiply: $3.14 \times 100 \times 3$
* $3.14 \times 300 = 942$
* Round to nearest tenth:
942.0
* Units: $m^3$
9. Radius = 4 mm, Height = 16 mm
* Formula: $V = 3.14 \times 4^2 \times 16$
* Square the radius: $4^2 = 16$
* Multiply: $3.14 \times 16 \times 16$
* $3.14 \times 256 = 803.84$
* Round to nearest tenth:
803.8
* Units: $mm^3$
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Final Answer:
1. 602.9 cm³
2. 2260.8 mm³
3. 1177.5 m³
4. 282.6 in³
5. 803.8 cm³
6. 254.3 mm³
7. 62.8 cm³
8. 942.0 m³
9. 803.8 mm³
Parent Tip: Review the logic above to help your child master the concept of volume cylinder worksheet answers.
