Question

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

Answer 1

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Answer 2

The height of the height of rectangular vessel is 5000 cm.

Step-by-step explanation:

Consider the provided information.

The cylindrical vessel having radius of 100 cm and height is 35 cm.

The juice is poured into an empty rectangular vessel of length 20cm and breadth 11 cm

The volume of both vessel must be equal because it is given that poured juice completely filled rectangular vessel.

The Volume of cylinder is: $V=\pi r^2h$

The Volume of rectangular vessel is: $V=lbh$

Therefore,

$\pi r^2h=lbh$

$\frac{22}{7}\times100\times 100 \times35=20\times 11\times h$

$2\times5\times100\times5=h$

$5000=h$

Hence, the height of the height of rectangular vessel is 5000 cm.

#Learn more

A rectangular vessel 25cm×8cm×11cm is full of milk.if the milk is poured into an empty cylindrical vessel of diameter 20 cm what will be the height of milk in the cylindrical vessel

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