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
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 = × π × r² ×h
where r is radius
h is height
So, volume = × 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 =
Or, n =
Or , n =
∴ 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
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