Question

Diameter of the cylinder given that the volume is 704 cm³ and the height is 14 cm .​

Answer 1

8.00 cm (to 3 s.f.)

Explanation:

`\boxed{volume \: of \: cylinder = \pi {r}^(2)h }`

*r= radius of the cylinder

h= height of cylinder

Substitute the given volume and height into the formula:

704= πr²(14)

`{r}^(2) = (704)/(14\pi)`

Square root both sides:

`r = \sqrt{ (704)/(14\pi) } \\ r = 4.0008 \: (5 \: s.f.)`

Diameter= 2(radius)

∴ Diameter of cylinder

= 2(4.0008)

= 8.0016

= 8.00cm (3 s.f.)