Question

the curved surface area of cylinder is 1760 cm and its volume is 24640cm^3..find its height

Answer 1

curved surface area of cylinder = 1760 cm² 
&
volume of cylinder = 24640 cm³ 

we have to find:
height of cylinder= ?.

solution:-
we know that ;
curved surface area of cylinder = 2πrh 
&
volume of cylinder = πr²h 

here,
according to given;
C.S.Area = 1760

=> 2πrh = 1760 

=> πrh = 1760 / 2 = 880 

and
volume = 24640

=> πr²h = 24640

=> πrh × r = 24640

=> 880 × r = 24640

=> r =24640/ 880 

=> r = 28 cm 

now, 
putting the value of 'r' in 
2πrh = 1760 

=> 2π × 28 × h = 1760 

=> h = 1760 /56π 

=> h = ( 1760 / 56 ) ×( 7/22 ) 
no you go on

Answer 2

Let height be h cm and radius be r cm

22/7 r^2 h = 24640
=> r^2h =1120*7
=>h = 7840/r^2
Now,
2*22/7*r*h =1760
=>r*7840/r^2=1760*7/44
=>7840/r=280
=>r=28cm
So,h=7840/784=10cm.hope this helps...