Question

the curved suface a cylinder is 1760cm2 and volume is 12320cm3 find the height

Answer 1

Hi ,

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CSA of cylinder = 2πrh

Volume of the cylinder = π r² h

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Let r , h are radius and height of the

Cylinder ,

CSA = 1760 cm²

2πrh = 1760 cm² -----( 1 )

Volume ( V ) = 12320 cm³

π r² h = 12320 cm³ ----( 2 )

V / CSA = 12320 / 1760

( π r² h ) / ( 2πrh ) = 7

r / 2 = 7

r = 14 cm

put r = 14 in equation ( 1 ) ,

2πrh = 1760

2 × ( 22/7 ) × 14 × h = 1760

h = ( 1760 × 7)/(2 × 22 × 14 )

h = 20 cm

I hope this helps you.

:)