Question

If the radius and height of a cylinder are in 5:7 and its volume is 550 cm3 then find its radius

Answer 1

let radius be r and height be h
r:h= 5:7
7r=5h
h= 7r/5
πr²h= 550
3.14*r²*7r/5= 550
7r³*3.14 = 550*5
r³=(550*5)/(3.14*7)
For r.. cube root it in calculator

Answer 2

r/h = 5/7
h= 7r/5

volume of cylinder = $\pi$$r^{2}$h
550= 22/7 * $r^2$ * 7r/5
550 = 22 * $r^2$ * r/5
550*5/22 = $r^3$
25*5 = $r^3$
125 = $r^3$
5=r