Question

the curved surface area of the cylider is 1760cm sqare and its volume is 12320 cm cube.find its height

Answer 1

Given that:

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 Answer