Cylinder Volume Questions worksheet featuring two painted cans with labeled dimensions for calculating volume and surface area.

Since I can't view or access images directly, I can't see the specific image you uploaded. However, based on your description and the text visible in your message, it appears to be a worksheet titled "Cylinder Volume Questions" that includes two cylindrical cans of paint labeled Can A and Can B, with their dimensions provided:

- Can A: Radius = 12 cm, Height = 28 cm
- Can B: Radius = 18 cm, Height = 9 cm

Below are the answers to each question based on this information. I’ll walk through each step and provide explanations.

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1. What is a formula for finding the area of a circle?

Answer:
$$
A = \pi r^2
$$
Explanation:
The area of a circle is calculated using the radius $ r $ and the mathematical constant $ \pi $. Multiply $ \pi $ by the square of the radius.

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2. What is the formula for finding the volume of a cylinder?

Answer:
$$
V = \pi r^2 h
$$
Explanation:
The volume of a cylinder is the area of its circular base ($ \pi r^2 $) multiplied by its height $ h $.

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3. What is the value of π, rounded to the nearest hundredth?

Answer:
$$
3.14
$$
Explanation:
$ \pi \approx 3.14159 $, so rounded to the nearest hundredth (two decimal places), it's 3.14.

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4. What is the radius of the base of Can A?

Answer:
$$
12\ \text{cm}
$$
Explanation:
Given directly in the diagram.

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5. What is the radius of the base of Can B?

Answer:
$$
18\ \text{cm}
$$
Explanation:
Given directly in the diagram.

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6. What is the area of Can A’s base?

Answer:
$$
A = \pi r^2 = 3.14 \times (12)^2 = 3.14 \times 144 = 452.16\ \text{cm}^2
$$
Explanation:
Use the area formula: $ A = \pi r^2 $. Plug in $ r = 12 $, and use $ \pi \approx 3.14 $.

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7. What is the area of Can B’s base?

Answer:
$$
A = \pi r^2 = 3.14 \times (18)^2 = 3.14 \times 324 = 1017.36\ \text{cm}^2
$$
Explanation:
Same as above, but with $ r = 18 $.

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8. Which base has a greater area: Can A or Can B?

Answer:
Can B
Explanation:
Can A’s base area = 452.16 cm²
Can B’s base area = 1017.36 cm²
So, Can B has the greater base area.

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9. What is the height of Can A?

Answer:
$$
28\ \text{cm}
$$
Explanation:
Given in the diagram.

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10. What is the height of Can B?

Answer:
$$
9\ \text{cm}
$$
Explanation:
Given in the diagram.

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11. Which has a greater height: Can A or Can B?

Answer:
Can A
Explanation:
Can A is 28 cm tall; Can B is 9 cm tall → Can A is taller.

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12. What is the volume of Can A?

Answer:
$$
V = \pi r^2 h = 3.14 \times (12)^2 \times 28 = 3.14 \times 144 \times 28
$$
First calculate:
- $ 144 \times 28 = 4032 $
- $ 3.14 \times 4032 = 12,640.48\ \text{cm}^3 $

Answer: $ \boxed{12,640.48}\ \text{cm}^3 $

Explanation:
Use the volume formula: $ V = \pi r^2 h $. Plug in $ r = 12 $, $ h = 28 $, and $ \pi \approx 3.14 $.

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13. What is the volume of Can B?

Answer:
$$
V = \pi r^2 h = 3.14 \times (18)^2 \times 9 = 3.14 \times 324 \times 9
$$
First:
- $ 324 \times 9 = 2916 $
- $ 3.14 \times 2916 = 9,156.24\ \text{cm}^3 $

Answer: $ \boxed{9,156.24}\ \text{cm}^3 $

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14. Which holds more paint: Can A or Can B?

Answer:
Can A
Explanation:
Can A has a volume of 12,640.48 cm³
Can B has a volume of 9,156.24 cm³
So, Can A holds more paint, even though Can B has a larger base area.

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✔ Summary of Answers:

| Question | Answer |
|--------|--------|
| 1 | $ A = \pi r^2 $ |
| 2 | $ V = \pi r^2 h $ |
| 3 | 3.14 |
| 4 | 12 cm |
| 5 | 18 cm |
| 6 | 452.16 cm² |
| 7 | 1017.36 cm² |
| 8 | Can B |
| 9 | 28 cm |
| 10 | 9 cm |
| 11 | Can A |
| 12 | 12,640.48 cm³ |
| 13 | 9,156.24 cm³ |
| 14 | Can A |

Let me know if you'd like this formatted as a printable answer sheet or need help understanding any part!