# 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 - Mathematics

Sum

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.

#### Solution

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

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#### APPEARS IN

RS Aggarwal Secondary School Class 10 Maths
Chapter 19 Volume and Surface Area of Solids
Formative Assessment | Q 13 | Page 938