Question

The curved surface area of a cylinder of height 28 cm is 704cm2.find the volume of the cone

Answer 1

Height of cylinder = 28 cm

CSA of cylinder = 704

=> 2 pi R h = 704

=> 2 × 22 × 28 × R / 7 = 704

=> 44 × 28 × R =704 × 7

=> R = 704 × 7 / 44 × 28

=> R = 704 / 44 × 4

=> R = 16 /4

=> R = 4 cm

Volume of cylinder = pi r^2 h

= 22 × 4 × 4 × 28 / 7

= 22 × 16 × 4

= 88 × 16

= 1408 cm^3

Answer 2

Heya ....!!

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Height of cylinder = 28 cm

Curved surface area of cylinder = 704 cm^2

2πrh = 704

( 2 ) ( 22/ 7 ) ( r ) 28 = 704

44 ( 28 ) ( r ) = 704 ( 7 )

r = 704 ( 7 ) / (44 X ( 28) )

r = 16 / 4

r = 4 cm

Volume of the cone = πr^2h

( 22/ 7 ) ( 4 ) ( 4 ) ( 28 )

22 ( 4 ) ( 4 ) ( 7 )

1408 cm^3

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