Question

A container is formed of a hollow cylinder fitted with a hemispherical bottom of
radius 3 cm. The depth of the cylinder is 14 cm and the diameter of the hemisphere is
6 cm. Find the volume and the internal surface area of the container.​

Answer 1

Step-by-step explanation:

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.

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