Question

the radius and height of cylinder are in the ratio 7 ratio 2 if the volume of cylinder is 8316 M cube find the radius and height of the cylinder

Answer 1

CYLINDER:-

Radius = r

Height = h

r : h = 7 : 2

∴ r     =  7  

 ---        ---

   h        2

⇒ r = 7h/2                              →1

Volume = 8316m³

    πr²h = 8316

 22    7h   7h     h

 ----- × --- × --- ×       = 8316

  7        2     2    

                     77 h²

                   ---------- = 8316

                        2

                        77h² = 8316 × 2

                            h² = 16632 ÷ 77

                              h = √216

                         ∴ h = 14.7m

sub. in 1

r = 7h / 2

  = 7 × 14.7 / 2

  = 102.9 / 2

∴ r = 51.45m

Answer 2

Hope the answer helped you!