Question

The radius and height of a cylinder are in the ratio 5:7 the volume is 550 cm² find its diameter

Answer 1

It is given that the ratio of radius and height of cylinder is 5:7.
Let the radius(r) be 5x and height(h) be 7x.
As we know, Volume of cylinder = $\pi$$r^{2}$h = 550
=>22/7*5x*7x = 550
=>110$x^{2}$ = 550
==> x = $\sqrt{5}$
Therefor radius = 5x = 5$\sqrt{5}$
And radius = 2r = 2 * 5$\sqrt{5}$ = 10$\sqrt{5}$

Answer 2

Let the radius(R) be 5x and height(H) be 7x. As we know, Volume of cylinder = πR^2H = 550 π*5x*5x*7x = 550 22/7*25*7 x^3 = 550 x^3 = 1 x = 1 R = 5x = 5 H = 7x = 7 Diameter = 2R Diameter = 2*5 Diameter = 10