A metallic spherical shell of internal and external diameters \( 4 \mathrm{~cm} \) and \( 8 \mat...

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A metallic spherical shell of internal and external diameters \( 4 \mathrm{~cm} \) and \( 8 \mathrm{~cm} \) respectively, is melted and recasted into the form of a cone with base diameter \( 4 \mathrm{~cm} \). Find the height of the cone.
a. \( 64 \mathrm{~cm} \)
b. \( 18 \mathrm{~cm} \)
c. \( 14 \mathrm{~cm} \)
d. \( 56 \mathrm{~cm} \)
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