erika1289 erika1289
  • 13-05-2021
  • Mathematics
contestada

What is the radius of a sphere with a volume of 1203 cm', to the nearest tenth of a
centimeter?

Respuesta :

joaobezerra joaobezerra
  • 18-05-2021

Answer:

The radius of the sphere is of 6.6 centimeters.

Step-by-step explanation:

Volume of an sphere:

The volume of an sphere of radius r is given by:

[tex]V = \frac{4\pi r^3}{3}[/tex]

In this question:

[tex]V = 1203 \text{cm}^{3}[/tex]

Replacing into the equation, we find the radius, in centimeters. So

[tex]V = \frac{4\pi r^3}{3}[/tex]

[tex]1203 = \frac{4\pi r^3}{3}[/tex]

[tex]r^3 = \frac{1203*3}{4\pi}[/tex]

[tex]r = \sqrt[3]{\frac{1203*3}{4\pi}}[/tex]

[tex]r = 6.6[/tex]

The radius of the sphere is of 6.6 centimeters.

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