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Find Radius :
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[tex]\text {Volume of a sphere =} \dfrac{4}{3} \pi r^3[/tex]
[tex] \dfrac{4}{3} \pi r^3 = 140[/tex]
[tex]\pi r^3 = 140 \times \dfrac{3}{4}[/tex]
[tex]\pi r^3 = 105[/tex]
[tex]r^3 = \dfrac{105}{ \pi} [/tex]
[tex]r = 3.22 \ cm[/tex]
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Find volume of the cylinder :
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[tex]\text {Volume of the cylinder = } \pi r^2h[/tex]
[tex]\text {Volume of the cylinder = } \pi ((3.22)^2(3.22 \times 2)[/tex]
[tex]\text {Volume of the cylinder = } 209.77 \ cm^3[/tex]
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Find volume of the gap :
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[tex]\text {Volume of gap = } 209.77 - 140[/tex]
[tex]\text {Volume of gap = } 69.77 \ cm^3[/tex]
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[tex]\bf \text {Answer : } 69.77 \cm^3[/tex]
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