Answer:
8.00 cm (to 3 s.f.)
Step-by-step explanation:
[tex]\boxed{volume \: of \: cylinder = \pi {r}^{2}h }[/tex]
*r= radius of the cylinder
h= height of cylinder
Substitute the given volume and height into the formula:
704= πr²(14)
[tex]{r}^{2} = \frac{704}{14\pi}[/tex]
Square root both sides:
[tex]r = \sqrt{ \frac{704}{14\pi} } \\ r = 4.0008 \: (5 \: s.f.)[/tex]
Diameter= 2(radius)
∴ Diameter of cylinder
= 2(4.0008)
= 8.0016
= 8.00cm (3 s.f.)
