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A ball is inside a glass case in the shape of a cube. The diameter of the ball and the length of the glass case are both 8.2 cm. What is the volume of the air outside the hall that is inside the glass case? Use the pie button on your calculator.

A ball is inside a glass case in the shape of a cube The diameter of the ball and the length of the glass case are both 82 cm What is the volume of the air outs class=

Respuesta :

Given

Length of glass case = diameter of ball = 8.2 cm

Find

Volume of air outside the ball

Explanation

diameter = 8.2 => radius = 4.1 cm

Volume of air outside ball = Vol. of Glass cube - Volume of ball

[tex]\begin{gathered} Reqd.\text{ }Volume=side^3-\frac{4}{3}\pi r^3 \\ =(8.2)^3-\frac{4}{3}\pi(4.1)^3 \\ =551.368-288.69561 \\ =262.67239cm^3 \\ =262.67cm^3(approx) \end{gathered}[/tex]

Final Answer

Required Volume is 262.67 cubic cm

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