### Question 10

SSC-CGL 2020 Mar 4 Shift 2

A cylindrical vessel of base radius 30 cm and height 42 cm is filled with a liquid. This liquid is poured into a cuboidal container whose length and breadth are 17 cm and 37 cm respectively. The height of the cuboidal vessel upto which the liquid will be filled?

### Solution in Detail

Vol. of cylinder $\displaystyle \pi \times 30^2 \times 42$

$\displaystyle = \frac{22}{7} \times 900 \times 42$

$\displaystyle = 22 \times 5400$

Let the required height $\displaystyle = x$ cm

Volume of cuboid = $\displaystyle x \times 17 \times 37$

Equating, we get

$\displaystyle x \times 17 \times 37 = 22 \times 5400$

I think some mistake in the figures. The figures, most likely were 11 cm and 27 cm instead of 17 and 37. If so, the value of x is 400 cm.

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