# 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? - Mathematics

Sum

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?

#### Solution

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

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

=(2/3pixx15xx15xx15)"cm"^3

Radius of each bottle=5/2 "cm"

Height of each bottle = 6 cm

Volume of each bottle =πr2h

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

Number of bottles required="Volume of the hemisphere bowl"/"Volume of each bottle"

=(2xxpixx15xx15xx2xx2)/(3xxpixx5xx5xx6)

=60

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