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The volume of the cylinder whose height is 14 cm and diameter of base 4 cm, is :
- a)176 cm3
- b)196 cm3
- c)276 cm3
- d)352 cm3
Correct answer is option 'A'. Can you explain this answer?
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Understanding Cylinder Volume
To find the volume of a cylinder, we use the formula:
Volume = π × r² × h
Where:
- π (pi) is approximately 3.14
- r is the radius of the base
- h is the height of the cylinder
Given Values
- Height (h) = 14 cm
- Diameter of the base = 4 cm
Calculating the Radius
- Radius (r) is half of the diameter:
- r = Diameter / 2 = 4 cm / 2 = 2 cm
Plugging Values into the Formula
- Now we substitute the values into the volume formula:
- Volume = π × (2 cm)² × 14 cm
Calculating Step-by-Step
- First, calculate the radius squared:
- (2 cm)² = 4 cm²
- Then, multiply by the height:
- 4 cm² × 14 cm = 56 cm³
- Finally, multiply by π (using 3.14):
- Volume ≈ 3.14 × 56 cm³ = 175.84 cm³
Rounding the Result
- When rounded, 175.84 cm³ is approximately 176 cm³.
Conclusion
- Therefore, the volume of the cylinder is 176 cm³, making option 'A' the correct answer.
To find the volume of a cylinder, we use the formula:
Volume = π × r² × h
Where:
- π (pi) is approximately 3.14
- r is the radius of the base
- h is the height of the cylinder
Given Values
- Height (h) = 14 cm
- Diameter of the base = 4 cm
Calculating the Radius
- Radius (r) is half of the diameter:
- r = Diameter / 2 = 4 cm / 2 = 2 cm
Plugging Values into the Formula
- Now we substitute the values into the volume formula:
- Volume = π × (2 cm)² × 14 cm
Calculating Step-by-Step
- First, calculate the radius squared:
- (2 cm)² = 4 cm²
- Then, multiply by the height:
- 4 cm² × 14 cm = 56 cm³
- Finally, multiply by π (using 3.14):
- Volume ≈ 3.14 × 56 cm³ = 175.84 cm³
Rounding the Result
- When rounded, 175.84 cm³ is approximately 176 cm³.
Conclusion
- Therefore, the volume of the cylinder is 176 cm³, making option 'A' the correct answer.
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The volume of the cylinder whose height is 14 cm and diameter of base 4 cm, is :a)176 cm3b)196cm3c)276cm3d)352cm3Correct answer is option 'A'. Can you explain this answer?
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