Question

a solid hemisphere of wax of radius 12cm is melted and made into a cone base radius 6cm calculate the height of the cone

Answer 1

Volume of hemisphere =2/3×22/7×r^3
= 2/3×22/7×12^3
= 2/3×22/7×1728

Volume of Cone = 1/3×22/7×r^2×h
= 1/3×22/7×6^2×h
= 1/3×22/7×36×h

Volume of hemisphere = volume of cone
2/3 × 22/7 ×1728 = 1/3×22/7×36×h
2 × 1728 = 36×h ( pie cancels with pie and 3 cancels with 3)

3456 = 36×h
3456/36 = h
96 = h

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