Question

The external and internal diameters of a spherical shell are 10 cm and 9 cm respectively. Find the volume of material used in the shell. ​

Answer 1

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$\huge\mathfrak\blue{Question:}$

The external and internal diameters of a spherical shell are 10 cm and 9 cm respectively. Find the volume of material used in the shell.

$\huge\mathfrak\red{Answer:}$

141.95 cm³

Step by step solution are in the attachment.

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Answer 2

outer diameter = 10 cm

inner diameter = 9cm

outer radius(R) = 10/2 = 5 cm

inner radius(r) = 9/2 = 4.5 cm

volume of outer shell (v1) = 4/3Πr^3

= 4/3*22/7*5*5*5

=523.8095cu.cm

volume of inner shell (v2)= 4/3Πr^3

= 4/3*22/7*4.5*4.5*4.5

= 381.8571 cu.cm

volume contained = v1-v2

=523.80952 -381.8571

=145.95 cu.cm(approx)

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