(solved)Question 10 SSC-CGL 2020 March 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?
(Rev. 03-Aug-2022)

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Question 10SSC-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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