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An inflatable ball can be modeled as a hollow sphere. Jace measures the outer diameter of the ball to be 50 cm. If the material that makes up the ball has a thickness of 1 cm, find the total volume of material that makes up the ball. Round your answer to the nearest hundredth if necessary. (Note: diagram is not drawn to scale.)

An inflatable ball can be modeled as a hollow sphere Jace measures the outer diameter of the ball to be 50 cm If the material that makes up the ball has a thick class=

Respuesta :

we have that

The volume of a sphere is given by the formula

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

The interior diameter is equal to

D=50-2(1)=48 cm

r=48/2=24 cm

The volume is equal to the volume of the sphere with the outer diameter minus the volume of the sphere with the interior diameter

so

[tex]\begin{gathered} V=\frac{4}{3}*pi*[25^3-24^3] \\ V=7,544.01\text{ cm}^3 \end{gathered}[/tex]

The volume is 7,544.01 cm3

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