Question

The internal radius of a cylindrical bucket of height 50 cm is 21 cm. It is filled with
water completely. If the water is poured into a rectangular vessel with internal
length 63 cm and breadth 44 cm and it is completely filled with water, find the
height of the vessel.​

Answer 1

Answer:

25cm

Step-by-step explanation:

solution:

Here,

lnternal radius of a cylindrical bucket(r)=21cm

Height(h)=50cm

Now,

Internal volume of bucket(v)=(pi)*r²*h

22/7*21*21*50

( 22*21*21*50)/7

69300cm³

Thus,volume of water=internal volume of

bucket=69300cm³

Given,

Length of rect.vessel(l)=63cm

Breath of rect.vessel(b)=44cm

Again,volume of rectangular vessel=volume of water

or, l*b*h=69300cm³

or,63*44*h=69300cm³

or,2772*h=69300cm³

or,h=69300cm³/2772cm²

h=25cm

So, the required height of vessel is 25 cm.

Answer 2

Step-by-step explanation:

Here, the diameter of the cylindrical bucket = 14 cm. So, radius (r) = 7 cm

Now, the internal volume of the bucket = лг²h = X 7 X 7 X 35 = 5,390 cm³

Thus, the volume of water = internal volume of bucket = 5,390 cm³ Again, volume of the rectangular glass tray = volume of water

Ixbxh = 5,390

28 x 17.5 x h = 5,390

h 5,390 28 x 17.5 = 11 cm

Hence, the height of the rectangular glass tray is 11 cm.

Solution:

Height of the bucket (h) = 35 cm