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One sphere has a radius of 181 cm, and another has a radius of 5.01 cm. What is the difference in volume (in cubic centimeters) between the two spheres?

The volume of a sphere is given by the formula \([tex]\frac{4}{3}\pi r^3[/tex]\).

Answer :

Answer:

[tex]2.4*10^{7}cm^{3}[/tex]

Explanation:

First you should calculate the volume of a big sphere,so:

[tex]V_{big}=\frac{4}{3}\pi r^{3}[/tex]

[tex]V_{big}=\frac{4}{3}\pi (181cm)^{3}[/tex]

[tex]V_{big}=2.4*10^{7}cm^{3}[/tex]

Then you calculate the volume of a small spehre, so:

[tex]V_{small}=\frac{4}{3}\pi r^{3}[/tex]

[tex]V_{small}=\frac{4}{3}\pi (5.01cm)^{3}[/tex]

[tex]V_{small}=5.3*10^{2}cm^{3}[/tex]

Finally you subtract the two quantities:

[tex]V_{big}-V_{small}=2.4*10^{7}cm^{3}-5.3*10^{2}cm^{3}[/tex]

[tex]V_{big}-V_{small}=2.4*10^{7}cm^{3}[/tex]

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