skroskiariana
skroskiariana skroskiariana
  • 07-05-2021
  • Mathematics
contestada

the cylinder below has a volume of 80 cm³. what is the value for r?​

the cylinder below has a volume of 80 cm what is the value for r class=

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Leora03
Leora03 Leora03
  • 08-05-2021

Answer:

r= 7.09 cm (3s.f.)

Step-by-step explanation:

[tex]\boxed{volume \: of \: cyinder = \pi {r}^{2}h }[/tex]

Given: h= 5cm, volume= 80cm³

πr²(5)= 80

Divide both sides by 5π:

[tex] {r}^{2} = \frac{80}{5\pi} [/tex]

Simplify:

[tex] {r}^{2} = 16\pi[/tex]

Square root both sides:

[tex]r = \sqrt{16\pi} [/tex]

r= 7.09 cm (3s.f.)

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