Question

Two cylindrical jars fountain the same amount of milk if their dimension are in the ratio of 3:4find the ratio if their height.

Answer 1

Step-by-step explanation:

Let r and R are the radii of the base of two cylindrical jars.

Let h and H are the height of the two cylindrical jars.

Now,

⇒

Diameterofthesecondjar

Diameterofthefirstjar

=

4

3

⇒

2πR

2πr

=

4

3

⇒

R

r

=

4

3

Again,

⇒

Volumeofthesecondjar

Volumeofthefirstjar

=1 [ since same amount of mil contain ]

⇒

πR

2

H

πr

2

h

=1

⇒

R

2

H

r

2

h

=1

⇒(

R

2

r

2

)×

H

h

=1

⇒(

4

3

)

2

×

H

h

=1

⇒

16

9

×

H

h

=1

⇒

H

h

=

16

9

1

⇒

H

h

=

9

16

⇒

h

H

=

16

9

⇒H:h=9:16

So, the ratio of their height is 9:16.

Hence, the answer is 9:16.