Question

A hemispherical vessel of radius 14 cm is fully filled with sand .This sand is poured on a level ground .The heap of sand forms a cone shape of height 7cm .Calculate the area of ground occupied by the circular base of the heap of the sand

Answer 1

Volume of the hemisphere = 2/3 pie r^3

volume={(2×14×14×14)/3}× pie

volume =5488/3 pie

since the volume of the hemispere=volume of the cone

Volume of the cone=1/3 × pie ×r^2 × h

5488/3 pie=1/3×pie×r^2×7

r^2=5488/7

r^2=784

r=28 cm

Area of the ground occupied=pie r^2

Area=22/7×28^2

Area=2464cm^2

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