Volume of Spherical shell


 
 
Concept Explanation
 

Volume of Spherical Shell

The volume V of a spherical shell whose outer and inner radii are R and r respectively is given by

V=frac{4}{3}pileft ( R^{3}-r^{3} right ) cubic units

Illustration: Determine the volume of a spherical shell which has an inner radius of 6 cm and an outer radius of 24 cm.

Solution: The volume of a spherical shell which has an inner radius of r cm and an outer radius of R cm is given by

               V=frac{4}{3}pileft ( R^{3}-r^{3} right )

Here, r = 6 cm and R = 24 cm

So, V=frac{4}{3}pileft ( (24)^{3}-(6)^{3} right )

     V=frac{4}{3}pileft ( 13824-216 right )

   V=frac{4}{3}pileft ( 13608right )

   V=frac{4}{3}times frac{22}{7}times 13608

   V=57024;cm^{3}

Sample Questions
(More Questions for each concept available in Login)
Question : 1

Determine the volume of a spherical shell which has an inner radius of 5 cm and an outer radius of 8 cm.

Right Option : C
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Explanation
Question : 2

Determine the volume of a spherical shell which has an inner radius of 7 cm and an outer radius of 10 cm.

Right Option : B
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Explanation
Question : 3

A spherical shell 5m thick has an outer radius of 7m . What is the volume of shell?

Right Option : D
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Explanation
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