The curved surface area of a cylinder is 484 sq. cm. If height of the cylinder is 7 cm, then what is the volume of the cylinder (in cubic cm)? (Use π = 22/7)

Question

Question

This question was previously asked in

HPCL Engineer Mechanical 12 Aug 2021 Official Paper (Shift 1)

Answer 1

Given:

Curved surface area(CSA) of the cylinder = 484 cm²

Height(h) of the cylinder = 7 cm

Formula used:

CSA of cylinder = 2πrh

Volume(V) of cylinder = πr²h

r = radius of the base of the cylinder

Calculation:

2πrh = 484

⇒ 2 × \(\dfrac{22}{7}\) × r × 7 = 484

⇒ r = 11

V = πr2h

⇒ V = \(\dfrac{22}{7}\) × 11² × 7

⇒ V = 2662

∴ Volume of the cylinder = 2662 cm³

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