Practice Questions
Concept Explanation
A right circular cylinder has radius r and height h.
Key Formulas
- Volume = πr²h
- Curved surface area (CSA) = 2πrh
- Total surface area (TSA) = 2πr(r + h) = CSA + 2πr²
Units
Volume in cu cm; surface area in sq cm. Use π = 22/7 or 3.14 as given.
Example
r = 7 cm, h = 10 cm, π = 22/7: V = 1540 cu cm, CSA = 440 sq cm.
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Q1 Easy
Cylinder r = 7 cm, h = 10 cm, π = 22/7. Volume is:
ExplanationV = 22/7 × 49 × 10 = 1540 cu cm. -
Q2 Easy
Cylinder r = 7 cm, h = 10 cm, π = 22/7. CSA is:
ExplanationCSA = 2 × 22/7 × 7 × 10 = 440 sq cm. -
Q3 Medium
Cylinder r = 7 cm, h = 10 cm, π = 22/7. TSA is:
ExplanationTSA = 2 × 22/7 × 7 × 17 = 748 sq cm. -
Q4 Medium
Cylinder r = 5 cm, h = 8 cm, π = 3.14. Volume is:
ExplanationV = 3.14 × 25 × 8 = 628 cu cm. -
Q5 Medium
Cylinder r = 5 cm, h = 8 cm, π = 3.14. CSA is:
ExplanationCSA = 2 × 3.14 × 5 × 8 = 251.2 sq cm. -
Q6 Medium
Volume 1540 cu cm, r = 7 cm, π = 22/7. Height is:
Explanationh = 1540/(22/7 × 49) = 10 cm. -
Q7 Hard
CSA of cylinder is 440 sq cm, h = 10 cm, π = 22/7. Radius is:
Explanation2 × 22/7 × r × 10 = 440, so r = 7 cm.
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Q8 Hard
A cylindrical pipe r = 3.5 cm, length 20 cm, π = 22/7. Volume is:
ExplanationV = 22/7 × 12.25 × 20 = 770 cu cm. -
Q9 Medium
Cylinder diameter 14 cm, height 5 cm, π = 22/7. Volume is:
Explanationr = 7 cm. V = 770 cu cm. -
Q10 Hard
TSA of cylinder r = 7 cm, h = 5 cm, π = 22/7 is:
ExplanationTSA = 2 × 22/7 × 7 × 12 = 528 sq cm. -
Q11 Medium
A cylinder and cone have same base radius 7 cm and height 10 cm (π = 22/7). Cylinder volume is how many times cone volume?
ExplanationCylinder volume = 3 × cone volume with same base and height. -
Q12 Hard
Cost of painting CSA of cylinder (r = 7 cm, h = 10 cm, π = 22/7) at Rs. 2 per sq cm is:
ExplanationCSA = 440 sq cm. Cost = 440 × 2 = Rs. 880. -
Q13 Hard
Cylinder r = 14 cm, h = 2 cm, π = 22/7. Volume is:
ExplanationV = 22/7 × 196 × 2 = 1232 cu cm. -
Q14 Easy
If cylinder height doubles and radius stays same, volume becomes:
ExplanationV ∝ h; doubling h doubles volume.
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DS1 Easy
What is the volume of the cylinder? (π = 22/7)
Statement IRadius is 7 cm.
Statement IIHeight is 10 cm.
ExplanationNeed both: volume = 1540 cu cm. -
DS2 Medium
What is the CSA? (π = 22/7)
Statement IRadius is 7 cm and height is 10 cm.
Statement IICSA is twice the area of one circular base.
ExplanationStatement I alone gives CSA = 440 sq cm.
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DS3 Medium
What is the height of the cylinder? (π = 22/7)
Statement IRadius is 7 cm.
Statement IIVolume is 1540 cu cm.
ExplanationNeed both: h = 10 cm. -
DS4 Easy
What is the TSA? (π = 22/7)
Statement IRadius is 7 cm.
Statement IIHeight is 10 cm.
ExplanationNeed both: TSA = 748 sq cm.