A hollow spherical shell has inner diameter $4$ cm and outer diameter $8$ cm. Determine the volume of the shell.

204.45 c m^{3}

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134.45 c m^{3}

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234.45 c m^{3}

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334.45 c m^{3}

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Solution

The correct option is D $234.45 c m^{3}$
Outer radius, $R = 4$ cm
Inner radius, $r = 2$ cm
Volume = $\frac{4}{3} π (R^{3} - r^{3})$
= $\frac{4}{3} π (4^{3} - 2^{3})$
= $\frac{4}{3} π (64 - 8)$
= $\frac{4}{3} π (56)$
= $\frac{224 π}{3}$
= $74.666 π$
= $234.45 c m^{3}$

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A hollow spherical shell has inner diameter 4 cm and outer diameter 8 cm. Determine the volume of the shell.

The correct option is D 234.45 cm3Outer radius, R=4 cmInner radius, r=2 cmVolume = 43π(R3−r3)= 43π(43−23)= 43π(64−8)= 43π(56)= 224π3= 74.666π= 234.45 cm3

A hollow spherical shell has inner diameter $4$ cm and outer diameter $8$ cm. Determine the volume of the shell.

The correct option is D $234.45 c m^{3}$
Outer radius, $R = 4$ cm
Inner radius, $r = 2$ cm
Volume = $\frac{4}{3} π (R^{3} - r^{3})$
= $\frac{4}{3} π (4^{3} - 2^{3})$
= $\frac{4}{3} π (64 - 8)$
= $\frac{4}{3} π (56)$
= $\frac{224 π}{3}$
= $74.666 π$
= $234.45 c m^{3}$