Question

The height and radius of a cylindrical vessel are 10 cm and 28 cm respectively. Find the

capacity of the vessel in litres.​

Answer 1

Answer:

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Step-by-step explanation:

Let the radius and height of conical vessel be 'r' and 'h' and that of cylinder be 'R' and 'H' (height upto which water is filled in cylindrical vessel).

Since, same volume of water is transferred to cylindrical vessel,

Volume of conical vessel = Volume of cylindrical vessel

3

πr

2

h

=πR

2

H

H=

3R

2

r

2

h

H=

3×25

100×18

=24cm

Answer 2

Answer:

24 cm

Step-by-step explanation:

Let the radius and height of conical vessel be 'r' and 'h' and that of cylinder be 'R' and 'H' (height upto which water is filled in cylindrical vessel).

Let the radius and height of conical vessel be 'r' and 'h' and that of cylinder be 'R' and 'H' (height upto which water is filled in cylindrical vessel).Since, same volume of water is transferred to cylindrical vessel,

Let the radius and height of conical vessel be 'r' and 'h' and that of cylinder be 'R' and 'H' (height upto which water is filled in cylindrical vessel).Since, same volume of water is transferred to cylindrical vessel,Volume of conical vessel = Volume of cylindrical vessel

Let the radius and height of conical vessel be 'r' and 'h' and that of cylinder be 'R' and 'H' (height upto which water is filled in cylindrical vessel).Since, same volume of water is transferred to cylindrical vessel,Volume of conical vessel = Volume of cylindrical vessel3πr2h  =πR2H

Let the radius and height of conical vessel be 'r' and 'h' and that of cylinder be 'R' and 'H' (height upto which water is filled in cylindrical vessel).Since, same volume of water is transferred to cylindrical vessel,Volume of conical vessel = Volume of cylindrical vessel3πr2h  =πR2HH= 3R2r2h

Let the radius and height of conical vessel be 'r' and 'h' and that of cylinder be 'R' and 'H' (height upto which water is filled in cylindrical vessel).Since, same volume of water is transferred to cylindrical vessel,Volume of conical vessel = Volume of cylindrical vessel3πr2h  =πR2HH= 3R2r2hH= 3×25100×18 =24cm