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There are two spheres; the radius of the big sphere is two times the radius of the small sphere. How many times larger is the volume of the big sphere compared to the small one?

Respuesta :

asuwafohjames

The volume of the bigger sphere is 8 times larger than the volume of the smaller sphere.

The formula of the volume of a sphere is given below

⇒ Formula:

  • V = 4/3(πr³)................. Equation 1

⇒ Where:

  • V = Volume of the sphere
  • r = radius of the sphere
  • π = constant called pie

From the question, There are two spheres.

If the radius of the bigger sphere is two times the radius of the smaller sphere.

  • R = 2r

⇒ Where

  • R = bigger radius
  • r = smaller radius

For the bigger sphere

⇒ Substitute these values into equation 1

  • V = 4/3(π(2r)³)
  • V = 4/3(π8r³)............. Equation 2

  For the smaller sphere,

  • V' = 4/3(πr³)............... Equation 3

⇒ Comparing equation 2 and equation 3

  • V = 8V'

Hence, The volume of the bigger sphere is 8 times larger than the volume of the smaller sphere.

Learn more about volume here: https://brainly.com/question/1972490

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