A juice seller has three types of glasses of inner diameter 5cm and height
10cm.
PLANE BOTTOM GLASS
HEMISPHERICAL RAISED BOTTOM
CONICAL RAISED BOTTOM OF HEIGHT 1.5CM
He decides to serve the customer in A type glass.
1. Find volume of TYPE A glass, B glass and C glass
2. Which glass has the minimum capacity.?
3. Which mathematical concept is used ?
4. By choosing TYPE A which value is depicted by the juice
seller.?
1. Diameter = 5 cm
radius = 2.5 cm
height = 10 cm
Volume of glass of type A = πr2h
= 3.14 x 2.5 x 2.5 x 10
= 196.25 cm3
Volume of hemisphere =
πr3
=
x 3.14 x 2.5 x 2.5 x 2.5
= 32.71 cm3
Volume of glass of type B = 163.54 cm3
Volume of cone =
πr2h
=
x 3.14 x 2.5 x 2.5 x 1.5
= 3.14 x 2.5 x 2.5 x 0.5
= 9.81 cm3
Volume of glass of type C = 196.25 – 9.81
= 186. 44 cm3
(1) The volume of glass of type A = 196.25 cm3.
(2) The glass of type B has the minimum capacity of 163.54 cm3.
(3) Volume of solid figures (Mensuration)
(4) Honesty