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Radius of Circular Cylinder

CMAT 2026 · Quantitative Techniques & Data Interpretation · Easy · Geometry

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If height and radius of right circular cylinder are equal and its volume is 1767 cm3\frac{176}{7}\text{ cm}^3, then find the radius.

  1. A.

    4 cm

  2. B.

    8 cm

  3. C.

    2 cm

  4. D.

    5 cm

Answer

C

Explanation

Volume of cylinder = πr2h=πr3\pi r^2 h = \pi r^3. 227×r3=1767  ⟹  22r3=176  ⟹  r3=8  ⟹  r=2 cm\frac{22}{7} \times r^3 = \frac{176}{7} \implies 22 r^3 = 176 \implies r^3 = 8 \implies r = 2\text{ cm}.

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