Question

the radius and height of a cylinder are in the ratio 1:3 if the volume is 3234 cm cube then its height is​

Answer 1

Step-by-step explanation:

I hope it will help u

Answer 2

Answer:

If 1:3 is the ratio of the radius and height of the cylinder, and the volume is 3234 cm cube, then its height is 21 cm

Step-by-step explanation:

Given

The ratio of radius (r) to the height (h) of the cylinder = 1:3

That is, if the radius is x then the height is 3x

Volume of the cylinder = 3234 cm cube

Volume of cylinder = $\pi r^{2}h$

That is,

$3234 =\frac{22}{7} *x^{2} *3x\\\\\frac{3234*7}{22} = 3x^{3} \\\\1029 = 3x^{3}\\\\x^{3} = \frac{1029}{3} \\\\x^{3} = 343\\\\x=\sqrt[3]{343} \\\\x=7$

x=7

So height = 3x = 3*7 = 21 cm