Question

Q9. Two cylindrical vessels are
filled with milk. The radius of
one vessel is 7 cm and height
is 100 cm and radius of other
vessel is 10 cm and height is
70 cm. Find the radius of
another cylindrical vessel of
height 119 cm which may just
contain the milk which is in the
two given cylindrical vessels?​

Answer 1

Step-by-step explanation:

Given,

Radius of one cylinder (r

1

)=15cm

and height (h

1

)=40cm

Radius of second cylinder (r

2

)=20cm

and height (h

2

)=45cm

Now

Volume of first cylinder πr

1

2

h

1

=

7

22

×15×15×40cm

3

=

7

198000

cm

3

Volume of second cylinder =πr

2

2

h

2

=

7

22

×20×20×45=

7

39600

cm

3

So, total volume =(

7

198000

+

7

396000

) cm

3

=

7

594000

cm

3

Now, height =30cm

Thus,

Radius =

3

7

594000

×

22

7

×

30

1

=

900

=30cm

Hence, Radius of the third cylinder =30cm