Step-by-step explanation:

Volume of Cylinder = πr²h

given,

r/h = 2/3

h = 3/2r

Volume= 6468 m

put these values in above formula,

V = π r²h

6468 = 22/7 × r² × 3/2r

6468 = 33/7 r³

588 = 3/7 r³ ( divided by 11)

196 ×7 = r³

1372 = r³

r = 11.11 m

Answer: radius = 5.55 cm

Step-by-step explanation:

Given, radius : height = 2:3

Volume = 6468 [tex]cm^{3}[/tex]

Let the common ratio be x.

∴ radius = 2x and height = 3x

∴ Volume = [tex]\pi * r^{2} * h[/tex]

⇒ 6468 = [tex]\frac{22}{7} * (2x)^{2} * 3x[/tex]

⇒ [tex]x^{3} = \frac{6468 * 7}{22 * 4 * 3}[/tex]

∴ x = 5.55 cm