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Question

The volume of a spherical shell whose internal and external diameters are 8cm and 10cm respectively (in cubic cm) is:

A
122π3
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B
244π3
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C
212
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D
257
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Solution

The correct option is A 244π3
Given, internal diameter =8cm and external diameter =10cm
Volume of a hollow sphere of outer Radius R and inner radius r =43π(R2r3)
Inner radius of the spherical shell =82=4cm
Outer radius of the spherical shell =102=5cm
Hence, volume of spherical shell =43×π×(5343)=43×π×61=244π3cm3

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