Question

C4. A cylindrical bucket of diameter 28 cm and height 12 cm is full of water. The water is emptied into a
rectangular tub of length 66 cm and breadth 28 cm, then find the height of water rises in the tub.​

Answer 1

ANSWER

cylindrical bucket's diameter= 28 cm, radius=14cm

height=72 cm

rectangular tank's length =66 cm

breadth= 28 cm

as per question,

volume of water in cylindrical bucket=volume of water in rectangular tank

Πr

2

h=lbh

Π(14)

2

∗72=66∗28∗h

h=24cm

Answer 2

GivEn :-

• A Cylindrical Bucket of diameter 28cm and Height = 12 cm

• A rectangular tub of length = 66cm and Breadth = 28cm,

To FinD :-

• The Height of water risses in the bucket.

CalculaTioN :-

First let us find the volume of the cylindrical Bucket.

★ Volume of Cylindrical Bucket

• Radius = diameter / 2 = 28/2 = 14 cm.

• Volume of bucket = ør²h

• Volume = 22/7 x 14 x 14 x 12 = 7392 cm³

Now

★ Finding the Volume of Rectangular Tub.

• Volume = Length x Breadth x Height.

• Volume = 66 x 28 x height

• 7392 = 1848 x h

• height = 7392/1848

$\boxed{ \bold{ \red{★Hence \: Height = 4cm}{} }{} }{}$

Hence the water risses 4 cm