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A hemispherical bowl of internal radius 9 cm is full of liquid. The liquid is to be filled into cylindrical shaped bottles each of radius 1.5 cm and height 4 cm. How many bottles are needed to empty the bowl

Solution:

Given, a hemispherical bowl of internal radius 9 cm is full of liquid.

The liquid is to be filled into cylindrical bottles each of radius 1.5 cm and height 4 cm.

We have to find the number of bottles needed to empty the bowl.

Volume of hemisphere = (2/3)πr³

Given, Radius = 9 cm

Volume of hemispherical bowl = (2/3)π(9)³

= 486π cm³

Volume of cylindrical bottle = πr²h

Given, radius = 1.5 cm

h = 4 cm

Volume of bottle = π(1.5)²(4)

= 9π cm³

Number of bottles needed = volume of hemispherical bowl/volume of one cylindrical bottle

= 486π/9π

= 486/9

= 54

Therefore, the number of bottles needed is 54.

✦ Try This: A hemispherical bowl of internal radius 8 cm is full of liquid. The liquid is to be filled into cylindrical shaped bottles each of radius 2 cm and height 8 cm. How many bottles are needed to empty the bowl?

☛ Also Check: NCERT Solutions for Class 10 Maths Chapter 13

NCERT Exemplar Class 10 Maths Exercise 12.4 Problem 16

A hemispherical bowl of internal radius 9 cm is full of liquid. The liquid is to be filled into cylindrical shaped bottles each of radius 1.5 cm and height 4 cm. How many bottles are needed to empty the bowl

Summary:

A hemispherical bowl of internal radius 9 cm is full of liquid. The liquid is to be filled into cylindrical shaped bottles each of radius 1.5 cm and height 4 cm. 54 bottles are needed to empty the bowl

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