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

User EJZ
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4 votes

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.)

User Ian Hopkinson
by
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