ellismerrillphd ellismerrillphd
  • 25-05-2021
  • Mathematics
contestada

A spherical dodge ball has a radius r and a tennis ball has a radius 0.3r? What is the difference in volume between a dodge ball and a tennis ball?

Respuesta :

abidemiokin
abidemiokin abidemiokin
  • 31-05-2021

Answer:

4/3π(0.973r³)

Step-by-step explanation:

Volume of a sphere = 4/3πr³

Given the radius of dodge ball rd = r

radius of tennis ball rt = 0.3r

Taking their difference

Volume difference  = 4/3πrd³ - 4/3πrt³

Volume difference  = 4/3π(r)³ - 4/3π(0.3r)³

Volume difference  = 4/3π(r³ - 0.027r³)

Volume difference = 4/3π(0.973r³)

Hence the differmce in volume is  4/3π(0.973r³)

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