Let’s solve each problem one by one.
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Problem 1:
We are given a cylinder with:
- Radius = 6 m
- Height = 15 m
Formula for volume of a cylinder:
V = π × r² × h
Plug in the values:
V = 3.14 × (6)² × 15
= 3.14 × 36 × 15
First, 36 × 15 = 540
Then, 3.14 × 540 = 1695.6 → rounds to
1696
✔ Correct answer:
B. 1696
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Problem 2:
Cylinder with:
- Radius = 3 in.
- Height = 10 in.
V = π × r² × h
= 3.14 × (3)² × 10
= 3.14 × 9 × 10
= 3.14 × 90 = 282.6
✔ Correct answer:
C. 282.6
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Problem 3:
Given:
- Height = 10 cm
- Radius = 9 cm
V = π × r² × h
= 3.14 × (9)² × 10
= 3.14 × 81 × 10
= 3.14 × 810 = 2543.4
✔ Correct answer:
A. 2543.4 cm³
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Problem 4:
Cylinder with:
- Radius = 2 cm
- Height = 2.5 cm
V = π × r² × h
= 3.14 × (2)² × 2.5
= 3.14 × 4 × 2.5
= 3.14 × 10 = 31.4
✔ Correct answer:
B. 31.4 cm³
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Final Answer:
1. B
2. C
3. A
4. B
Parent Tip: Review the logic above to help your child master the concept of surface area and volume of a cylinder worksheet.
