M.L Aggarwal book Important Question of class 10 chapter Based on Mensuration for ICSE BOARD.

The surface area of a solid sphere is given.

It is cut into two hemispheres. Find the total surface area and the volume of a hemisphere.

This is the Question Number 16, Exercise 17.3 of M.L Aggarwal.

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# The surface area of a solid sphere is 1256 cm square. It is cut into two hemispheres. Find the total surface area and the volume of a hemisphere. Take pie (π) = 3.14.

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This answer was edited.Given surface area of the sphere = 1256 cm^{2}4πr^{2}= 12564×3.14×r^{2}= 1256r^{2}= 1256×/3.14×4r^{2}= 100r = 10 cmTotal surface area of the hemisphere = 3πr^{2}= 3×3.14×10^{2}= 3×3.14×100= 942 cm^{2}Hence the total surface area of the hemisphere is 942 cm^{2}.Volume of the hemisphere = (2/3)πr^{3}= (2/3)×3.14×10^{3}= (2/3)×3.14×1000= (2/3)×3140= 6280/3Hence the volume of the hemisphere is