The radius of the smaller circle is 4 cm and the radius of the larger circle is 8 cm. Find the volume of the of the spherical shell inscribed in the larger circle.

1875.62 c m^{3}

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875.62 c m^{3}

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2875.62 c m^{3}

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3875.62 c m^{3}

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Solution

The correct option is B $1875.62 c m^{3}$
R $= 8 c m$
r $= 4 c m$
Volume = $\frac{4}{3} π (R^{3} - r^{3})$

= $\frac{4}{3} π (8^{3} - 4^{3})$

= $\frac{4}{3} π (512 - 64)$

= $\frac{4}{3} π (448)$

= $\frac{1792 π}{3}$
= $1875.62 c m^{3}$

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The radius of the smaller circle is 4 cm and the radius of the larger circle is 8 cm. Find the volume of the of the spherical shell inscribed in the larger circle.

The correct option is B 1875.62 cm3R =8 cmr =4 cmVolume = 43π(R3−r3)= 43π(83−43)= 43π(512−64)= 43π(448)= 1792π3= 1875.62 cm3

The correct option is B $1875.62 c m^{3}$
R $= 8 c m$
r $= 4 c m$
Volume = $\frac{4}{3} π (R^{3} - r^{3})$

= $\frac{4}{3} π (8^{3} - 4^{3})$

= $\frac{4}{3} π (512 - 64)$

= $\frac{4}{3} π (448)$

= $\frac{1792 π}{3}$
= $1875.62 c m^{3}$