Question

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 1

$height = \frac{25 \times 8 \times 11 \times 7}{22 \times 10 \times 10} = 7cm$

Answer 2

Answer:

Height of cylindrical vessel would be 7 cm.

Explanation:

A rectangular vessel 25 cm x 8 cm x 11 cm is full of milk.

So, L=25 cm , B=8 cm and H=11 cm

If the milk poured into an empty cylindrical vessel of diameter 20 cm.

Let us suppose height of cylinder be h cm

Diameter of cylinder = 20 cm

Radius is half of diameter.  

So, r=10 cm

As we know if volume of one container empty into another container their volume must be same.

So, we can say volume of cylinder is equal to volume of rectangular vessel.  

$V_{cylinder}=V_{rectangular}$

Formula of volume:

• $V_{cylinder}=\pi r^2h$

• $V_{Rectangular}=L\times B\times H$

$\therefore \pi r^2h=L\times B\times H$

$\pi (10)^2\times h =25\times 8\times 11$

$h=\frac{25\times 8\times 11\times 7}{22\times 10\times 10}$

$h=7\text{ cm}$

Thus, Height of cylindrical vessel would be 7 cm.