Question

curved surface area of the cylinder is 1760 CM square and its volume is 1200 12320 cm cube find its height​

Answer 1

≡QUESTION≡

The curved surface area of the cylinder is 1760 cm² and it's volume is 12320 cm³. Find its height.

                                                                                               

║⊕ANSWER⊕║

GIVEN

Curved surface Area = 1760 cm²

Volume = 12320 cm³

=> 2πrh = 1760

=> πrh = 1760 / 2 = 880

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