Question

A hemispherical bowl of internal radius 9 cm is full of water. This water is to be filled in cylindrical bottles of diameter 3 cm and height 4 cm. Find the number of bottles needed in which the water can be filled.

Answer 1

Radius of hemisphere = 9 cm

Volume of hemisphere `= 2/3 pir^3`

`=(2/3pixx9xx9xx9)"cm"^3`

Radius of each bottle `= 3/2 "cm"` 

Height of each bottle = 4 cm

Volume of each bottle `= pi"r"^2"h"`

`=(pixx3/2xx3/2xx4)"cm"^3`

Numbe of bottles `= "Volume of the hemisphre"/"Volume of each bottle"`

`=(2pixx9xx9xx9xx2xx2)/(3xxpixx3xx3xx4)`

= 54