Q51 / 68 · NEST (NISER) 2022 (Session 1) · Mathematics

A right circular conical glass bottle with a base radius $r$ and height $h$ contains a coloured liquid upto half of its height. When the bottle is inverted and held vertically on its tip, the height of the liquid in the bottle is

  • A
    $\frac{h}{2}$
  • B
    $\frac{h r}{2}$
  • Correct answer
    C
    $\frac{7^{\frac{1}{3}} h}{2}$
  • D
    $\frac{7^{\frac{1}{3}} h r}{2}$

Hence, the correct answer is option: 'C'.

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