valerievives34 valerievives34
  • 14-03-2022
  • Mathematics
contestada

a
A sphere has a volume of 13.04 cm3.
Calculate the radius of the sphere.

Respuesta :

semsee45
semsee45 semsee45
  • 14-03-2022

Answer:

[tex]r=1.46 \textsf{ cm (nearest hundredth)}[/tex]

Step-by-step explanation:

Volume of a sphere = [tex]\dfrac43\pi r^3[/tex]

Given volume = 13.04 cm³

[tex]\implies 13.04=\dfrac43\pi r^3[/tex]

Multiply both sides by 3/4:

[tex]\implies 9.78=\pi r^3[/tex]

Divide both sides by [tex]\pi[/tex]:

[tex]\implies \dfrac{9.78}{\pi}=r^3[/tex]

Cube root both sides:

[tex]\implies r=\sqrt[3]{\dfrac{9.78}{\pi}}[/tex]

[tex]\implies r=1.460146149...[/tex]

[tex]\implies r=1.46 \textsf{ cm (nearest hundredth)}[/tex]

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