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

Question

asked May 25, 2021 108k views

1 Answer

Ian Hopkinson · Answer 1 · 2021-06-01T04:04:41+0000

Answer:

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.)