Question

12. A hemispherical bowl has diameter 9 cm. The liquid is poured into cylindrical bottles of
Yes kam hai
diameter 3 cm. and height 3 cm. if a full bowl of liquid is filled in the bottles,find how many bottles are required​

Answer 1

Answer:

Given: Diameter =9cm , hence radius (r)=

2

9

cm

Volume of of a hemispherical bowl =

2

1

[

3

4

πr

3

]

Here r=

2

9

⇒ Volume of hemispherical bowl =

2

1

[

3

4

π (

2

9

)

3

]

⇒Volume of the bowl =

4

243

π cm

3

Now to calculate volume of each cylindrical bottle we are given:

Diameter : 3cm , hence r =

2

3

and height (h) =3 cm

Volume of the cylinder =πr

2

h

⇒volume of cylinder =π (

2

3

)

2

×3

⇒Volume of cylinder =

4

27

π cm

3

Now a number of bottles = Volume of hemispherical bowl ÷ volume of the cylinder

⇒Number of bottles =

4

243

π÷

4

27

π

⇒ Number of bottles =9

Hence 9 bottles are required.

Answer 2

Answer:

9 bottles are required.

Explanation:

Given: Diameter =9cm , hence radius (r)=

2

9

cm

Volume of of a hemispherical bowl =

2

1

[

3

4

πr

3

]

Here r=

2

9

⇒ Volume of hemispherical bowl =

2

1

[

3

4

π (

2

9

)

3

]

⇒Volume of the bowl =

4

243

π cm

3

Now to calculate volume of each cylindrical bottle we are given:

Diameter : 3cm , hence r =

2

3

and height (h) =3 cm

Volume of the cylinder =πr

2

h

⇒volume of cylinder =π (

2

3

)

2

×3

⇒Volume of cylinder =

4

27

π cm

3

Now a number of bottles = Volume of hemispherical bowl ÷ volume of the cylinder

⇒Number of bottles =

4

243

π÷

4

27

π

⇒ Number of bottles =9

Hence 9 bottles are required.