7. 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.
Answers
Answer:
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^2hV=πr
2
h
The Volume of rectangular vessel is: V=lbhV=lbh
Therefore,
\pi r^2h=lbhπr
2
h=lbh
\frac{22}{7}\times100\times 100 \times35=20\times 11\times h
7
22
×100×100×35=20×11×h
2\times5\times100\times5=h2×5×100×5=h
5000=h5000=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
Answer:
height of cylindrical vessel would be 7 cm.
l
Step-by-step explanation:
a rectangular vessel 25cm × 8cm × 11cm is full of milk.
So, L=25 cm , B=8 cm and H=11 cm
if the milk board into an empty cylindical vessel of diameter 20 CM
let us suppose height of cylinder be h CM
diameter of cylinder= 20cm
radius is half of diameter.
So,r= 10 cm
as we know if volume of one container MT into another container there volume must be same.
So, we can say volume of cylinder is equal to volume of rectangular vessel.