Math, asked by hemabutani141176, 11 months ago

the number of conical bottles of radius 2 cm in height 3.6 CM required to empty the liquid from a cylindrical bottle of radius 6 centimetre and height 10 centimetre is dash​

Answers

Answered by sanjeevk28012
23

Answer:

The number of conical bottle required to empty the liquid in cylindrical bottle is 75

Step-by-step explanation:

Given as :

The radius of conical bottles = 2 cm

The height of conical bottle = 3.6 cm

The volume of conical bottle = v = \dfrac{1}{3} × π × r² ×h

where r is radius

h is height

So, volume = \dfrac{1}{3} × 3.14 × 2² × 3.6

Or, v = 15.072 cm³

Again

The radius of cylindrical bottles = 6 cm

The height of cylindrical bottle = 10 cm

The volume of cylindrical bottle = V =  π × r² ×h

Or, V = 3.14 × 6² × 10

or, V = 1130.4 cm³

Let The number of conical bottle required to empty the liquid in cylindrical bottle = n

Or, n = \dfrac{volume of cylindrical bottle}{volume of conical botle}

Or, n = \dfrac{V}{v}

Or , n = \dfrac{1130.5}{15.072}

∴  n = 75

So, The number of conical bottle required to empty the liquid in cylindrical bottle = n = 75

Hence, The number of conical bottle required to empty the liquid in cylindrical bottle is 75 . Answer

Answered by ahinsamohanty
6

Answer:

The number of conical bottle required to empty the liquid in cylindrical bottle is 75

Step-by-step explanation:

Given as :

The radius of conical bottles = 2 cm

The height of conical bottle = 3.6 cm

The volume of conical bottle = v = \dfrac{1}{3}

3

1

× π × r² ×h

where r is radius

h is height

So, volume = \dfrac{1}{3}

3

1

× 3.14 × 2² × 3.6

Or, v = 15.072 cm³

Again

The radius of cylindrical bottles = 6 cm

The height of cylindrical bottle = 10 cm

The volume of cylindrical bottle = V = π × r² ×h

Or, V = 3.14 × 6² × 10

or, V = 1130.4 cm³

Let The number of conical bottle required to empty the liquid in cylindrical bottle = n

Or, n = \dfrac{volume of cylindrical bottle}{volume of conical botle}

volumeofconicalbotle

volumeofcylindricalbottle

Or, n = \dfrac{V}{v}

v

V

Or , n = \dfrac{1130.5}{15.072}

15.072

1130.5

∴ n = 75

So, The number of conical bottle required to empty the liquid in cylindrical bottle = n = 75

Hence, The number of conical bottle required to empty the liquid in cylindrical bottle is 75 . Answer

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