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
Answer:
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.