Question

The curved surface area of the cylinder is 1760centimeter square its volume is 24640centmeter cube find its height

Answer 1

I hope that this answer helps you

Answer 2

Given,curved surface area of cylinder
= 1760cm^2

since, we know curved surface area of cylinder = 2πrh

2πrh = 1760 => πrh = 1760 ÷ 2

πrh = 880 ----------(1)

Find the radius:
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volume of cylinder = 24640 cm^3

πr^2h = 24640

r ( πrh ) = 24640

r( 880 ) = 24640 => r = 24640 ÷ 880

r = 28 cm

thus , radius of cylinder = 28 cm

Find the height:
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put value of 'r' in (1) , we get

π(28) h = 880

h = ( 880 × 7 ) / ( 28 × 22 )

h = 6160 ÷ 616

h = 10 cm

therefore ,height of the cylinder = 10 cm

Answer : height = 10 cm

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