 # RS Aggarwal Solutions Class 9 Mathematics Solutions for Volume And Surface Area Of Solids Exercise 15D in Chapter 15 - Volume And Surface Area Of Solids

Question 25 Volume And Surface Area Of Solids Exercise 15D

A hemispherical bowl of internal radius 9cm contains a liquid. This liquid is to be filled into cylindrical shaped small bottles of diameter 3cm and height 4cm. How many bottles are required to empty the bowl?

It is given that

Internal radius of the hemispherical bowl = 9cm

Diameter of the hemispherical bowl = 9/2 = 4.5 cm

Diameter of the bottle = 3cm

Radius of the bottle = 3/2 = 1.5cm

Height of the bottle = 4cm

We know that

Number of bottles = Volume of bowl/ Volume of each bottle

So we get

Number of bottles = (2/3 πR3)/ (πr2h)

By substituting the values

Number of bottles = (2/3 π (9) 3)/ (π (3/2) 2h)

On further calculation

Number of bottles = (2/3 (9) 3)/ ((3/2) 2h)

So we get

Number of bottles = 54

Therefore, 54 bottles are required to empty the bowl.

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