The radius of the smaller circle is $2$ m and the radius of the larger circle is $10$ m. What is the volume of the of the spherical shell inscribed in the larger circle?

3153.17 m^{3}

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4153.17 m^{3}

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2153.17 m^{3}

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153.17 m^{3}

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Solution

The correct option is B $4153.17 m^{3}$
$R = 10 m$
$r = 2 m$
Volume $= \frac{4}{3} π (R^{3} - r^{3})$
$= \frac{4}{3} π (10^{3} - 2^{3})$
$= \frac{4}{3} π (1000 - 8)$
$= \frac{4}{3} π (992)$
$= \frac{3968 π}{3}$
$= 1322.66 π$
$= 4153.17 m^{3}$

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The radius of the smaller circle is 2 m and the radius of the larger circle is 10 m. What is the volume of the of the spherical shell inscribed in the larger circle?

The correct option is B 4153.17 m3R=10mr=2mVolume =43π(R3−r3)=43π(103−23)=43π(1000−8)=43π(992)=3968π3=1322.66π=4153.17 m3

The radius of the smaller circle is $2$ m and the radius of the larger circle is $10$ m. What is the volume of the of the spherical shell inscribed in the larger circle?

The correct option is B $4153.17 m^{3}$
$R = 10 m$
$r = 2 m$
Volume $= \frac{4}{3} π (R^{3} - r^{3})$
$= \frac{4}{3} π (10^{3} - 2^{3})$
$= \frac{4}{3} π (1000 - 8)$
$= \frac{4}{3} π (992)$
$= \frac{3968 π}{3}$
$= 1322.66 π$
$= 4153.17 m^{3}$