Question

A hemispherical bowl of internal diameter 30 cm is full of a liquid. This liquid is poured into cylindrical bottles of diameter 5 cm and height 6 cm each. How many bottles are required?

Answer 1

Radius of hemispherical ball`=30/2= 15  "cm"`

Volume of hemispherical bowl`=2/3pi"r"^3`

`=(2/3xx15xx15xx15)"cm"^3`

Radius of each`=5/2 "cm"`

Height of each bottle = 6 cm

`= "volume of each bottle =πr<sup>2</sup>h `

`=(pixx5/2xx5/2xx6)"cm"^3`

`=(2xxpixx15xx15xx2)/(3xxpixx5xx5xx6)`

=60