Question

THE CURVED SURFACE AREA OF THE CYLINDER IS 1760 CM. SQUARE AND IT VOLUME IS 12320 CUBIC CM .FIND ITS HEIGHT.

Answer 1

curved surface area of cylinder = 1760 cm²
&
volume of cylinder = 12320 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 = 12320

=> πr²h = 12320

=> πrh × r = 12320

=> 880 × r = 12320

=> r = 12320 / 880

=> r = 14 cm

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

=> 2π × 14 × h = 1760

=> h = 1760 / 28π

=> h = ( 1760 / 28 ) ×( 7/22 )

=> h = 12320 / 616

=> h = 20 cm