Question

the height and radius of a cylinder are in the ratio of 7:5 and its volume is 550cm cube. find the radius if its base

Answer 1

let the height and radius be 7x and 5x respectively.
v=550cm cube
volume of cylinder=πrxrh
=22/7*5x*5x*7x
22 *25x cube =550
550xcube =550
xcube=550/500
xcube=1
$x = \sqrt[3]{1}$
X=1cm
radius=5cm