Ice-cream, completely filled in a cylinder of diameter 35 cm and height 32 cm

• Mensuration

Ice-cream, completely filled in a cylinder of diameter 35 cm and height 32 cm, is to be served by completely filling identical disposable cones of diameter 4 cm and height 7 cm. The maximum number of persons that can be served in this way is

1. 950
2. 1000
3. 1050
4. 1100

Answer

The volume of the ice cream remains same before and after being served.

Volume of cylinder = πr²h = π × 35/2 × 35/2 × 32

Volume of cone = 1/3 πr²h = 1/3 × π × 4/2 × 4/2 × 7

Maximum number of persons = Volume of cylinder / Volume of cone

= 1050

The correct option is C.