Question

A 35 cm high cylindrical vessel having a base radius of 100 cm is full of juice. If the juice is poured into an
empty rectangular vessel of length 20 cm and breadth 11 cm and filled it completely, then find the height
of the rectangular vessel.
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Answer 1

GiveN :-

• Height of cylindrical vessel = 35 cm

• Radius of the cylinder vessel = 100 cm

• Length of rectangular vessel = 20 cm

• Breadth of rectangular vessel = 11 cm

To FinD :-

• Height of the rectangular vessel

SolutioN :-

Volume of the cylindrical vessel filled with juice

$\large : \implies \boxed{\bf \red { Volume_{cylinder} = \pi {r}^{2}h}} \\ \\: \implies \sf Vol = \frac{22}{7} \times 100 \times 100 \times 35 \\ \\: \implies \sf Vol =22 \times 100 \times 100 \times 5 \\ \\: \implies \boxed{ \sf Vol =1100000 \: {cm}^{3}}$

Now this juice is poured into a rectangular vessel.

Therefore , volume of cylindrical vessel is equal to volume of rectangular vessel

$\large :\implies \boxed{\bf \blue { Volume_{Cuboid} = L \times B \times H}} \\ \\: \implies \sf 1100000 = 20 \times 11 \times H \\ \\: \implies \sf H = \frac{1100000}{220} \\ \\: \implies \boxed{ \sf H = 5000 \: cm}$

$\Large \therefore \underline { \bf \green{ Height \: of \: vessel \: is \: 5000 \: cm}}$

Answer 2

Step-by-step explanation:

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