Question

a container cylindrical in shape, has radius 6 cm and height 15 cm, is full of milk. if the milk is poured in conical cups of height 12 cm and diameter 6 cm. find the no of cups filled​

Answer 1

Answer:

Given, Radius of cylindrical container =6cm

Height of cylindrical container =15cm

Volume of cylinder =πr

2

h

=π×36×15

=540πcm

3

Now, as it has to be divided among 10 children

∴ Dividing volume by 10=

10

540

=54πcm

3

Volume of cone + Volume of hemispherical top = Volume of ice-cream in it.

⇒

3

1

πr

2

h+

3

2

πr

3

=πr

2

h

⇒

3

1

πr

2

(4r)+

3

2

πr

3

=54π

⇒

3

1

πr

3

(4+2)=54π

⇒2r

3

=54⇒r=3

Hence, the radius of icecream cone =3 cm