Question

A rectangular vessel 22 cm by 16 cm by 14 cm is full of water. If the total water is poured
into an empty cylindrical vessel of radius 8 cm, find the height of water in the cylindrical
vessel. ​

Answer 1

Step-by-step explanation:

Length of rectangular vessel (l)=22 cm.

Breadth (b)=16 cm.

and height (h)=14 cm.

∴

Volume of vessel =lbh

=

22

×

16

×

14

c

m

3

=

4928

c

m

3

Volume of water in the cylindrical vessel

=

4928

c

m

3

Radius (r)=8 cm.

Let height of water in the vessel =h

∴

π

r

2

h

=

4928

⇒

22

7

×

8

×

8

×

h

=

4928

⇒

h

=

4928

×

7

22

×

8

×

8

⇒

h

=

24.5

Hence height of water =24.5 cm

Answer 2

Step-by-step explanation:

volume of rectangular vessel=(22×16×14)cm^3=4928cm^3

volume of cylindrical vessel=22/7×8×8×h

now,

22/7×8×8×h=4928

22/7×64×h=4928

1408/7×h=4928

h=4928×1408/7

h=49/2=24.5cm