Question

If the height of the two cylinder are equal their radii in the ratio 7 ratio 5 then the ratio of the volume is

Answer 1

Answer:

49 : 25

Step-by-step explanation:

Given---> Height of two cylinders are equal and their radii are in the ratio 7 : 5 .

To find---> Ratio of their volume.

Solution---> Let heights of two cylinders be h₁ and h₂ and their radii be r₁ and r₂ respectively.

ATQ, h₁ = h₂ = h ( say ) and r₁ : r₂ = 7 : 5

Let , r₁ = 7r and r₂ = 5r

Volume of first cylinder = π r₁² h₁

V₁ = π ( 7r )² h

V₁ = π ( 49 r² ) h

V₁ = 49 π r² h

Volume of second cylinder = π r₂² h₂

V₂ = π ( 5r )² h

V₂ = π ( 25r² ) h

V₂ = 25 π r² h

Now,

V₁ / V₂ = 49 π r² h / 25 π r² h

=> V₁ / V₂ = 49 / 25

=> V₁ : V₂ = 49 : 25

#Answerwithquality

#BAL

Answer 2

Answer:

Step-by-step explanation:

Given---> Height of two cylinders are equal and their radii are in the ratio 7 : 5 .

To find---> Ratio of their volume.

Solution---> Let heights of two cylinders be h₁ and h₂ and their radii be r₁ and r₂ respectively.

ATQ, h₁ = h₂ = h ( say ) and r₁ : r₂ = 7 : 5

Let , r₁ = 7r and r₂ = 5r

Volume of first cylinder = π r₁² h₁

V₁ = π ( 7r )² h

V₁ = π ( 49 r² ) h

V₁ = 49 π r² h

Volume of second cylinder = π r₂² h₂

V₂ = π ( 5r )² h

V₂ = π ( 25r² ) h

V₂ = 25 π r² h

Now,

V₁ / V₂ = 49 π r² h / 25 π r² h

=> V₁ / V₂ = 49 / 25

=> V₁ : V₂ = 49 : 25