# remaining part of the circle.A group of 21 school students shared the ice-cream brick in lunch break to celebrate the Indepe

By Emma

remaining part of the circle.
A group of 21 school students shared the ice-cream brick in lunch break to celebrate the Independence Day. If each on
takes a hemispherical scoop of ice-cream of 3 cm radius, find the volume of ice-cream caten by them.
(a) If the dimensions of the ice-cream brick are 10cm * 10cm * 12cm, how much volume of cream is left?
(b) Which value is depicted by the students?
hamis here and a cylinder stand on the same basc and have cqual height. Find the ratio of their​

### 1 thought on “remaining part of the circle.<br />A group of 21 school students shared the ice-cream brick in lunch break to celebrate the Indepe”

Diameter of right circular cylinder is 12 cm → r = 6 cm.

Height: 15 cm → h = 15 cm

Diameter of Cone, 6 cm. → r = 3 cm

Height 12 cm. → h = 12 cm

(i) Volume of ice cream which has cone shaped and hemisphere.

=

3

1

πr

2

h+

3

1

πr

3

=

3

1

×

7

22

×(3)

2

×12+

3

2

×

7

22

×(3)

3

=36π+18πcm

3

=54πcm

3

(ii) Volume of cylindrical vessel, V =πr

2

h

=

7

22

×(6)

2

×15

=π×36×15

Let number of cones be ‘n’

n×54π=π×36×15

54n=36×15

∴n=

54

36×15

=

54

540

∴n=10

Ice cream can be filled in 10 cones.