andrepienaar8467 andrepienaar8467
  • 08-05-2021
  • Mathematics
contestada

A basketball is shipped in a cube-shaped box. The basketball just want touches the sides of the box. What is the radius of the ball? What is the volume?

Respuesta :

codiepienagoya codiepienagoya
  • 11-05-2021

Answer:

The answer is "4.8 and 463.011"

Step-by-step explanation:

Please find the complete question in the attached file.

Given:

side[tex]= 9.6 \ in\\\\[/tex]

let the radius of the ball

[tex]2r=9.6 \ in\\\\r=\frac{9.6}{2}\\\\r= 4.8 \ in\\\\[/tex]  

The radius of the basketball [tex]= 4.8 \ in\\\\[/tex]

The volume of the basketball[tex]=\frac{4}{3}\pi r^3=\frac{4}{3}\times 3.14 \times 4.8^3= 463.011 \ in^3[/tex]

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