Question

the CSA of cylinder is 1760 sq cm and it's volume is 12320cubic.cm.. find its height

Answer 1

G.t csa= 1760, 
csa=2pi*r*h 
2pi*r*h=1760 
2*22/7*rh=1760 
rh=1760*7/44 
rh=280.....(1). 
Also given that volume v= 12320 
pi*r^2*h=12320 
22/7*r*rh=12320 
22/7*r*280=12320 
r*6160/7=12320 
r=12320*7/6160 
r=14 
sub. The value of 'r' 
csa=1760 
2pi*r*h=1760 
2*22*14/7*h=1760 
2*22*2*=1760 
88*h=1760 
h=1760/88 
h=20

I hope it will help you....

Answer 2

Hi ,

Let r , h are radius and height of the

cylider ,

CSA = 1760 sq cm

2πrh = 1760 ----( 1 )

Volume = 12320 cm³

π r² h = 12320 ----( 2 )

Find the ratio of volume and CSA,

( π r² h ) / ( 2πrh ) = 12320 / 1760

r / 2 = 7

r = 14 cm

Put r = 14cm in equation ( 1 ) , we get

2πrh = 1760

2 × ( 22/7 ) × 14 × h = 1760


88h = 1760

h = 1760/88

h = 20 cm

I hope this helps you.

: )