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.
Deepak BoraNewbie
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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Given surface area of the sphere = 1256 cm2
4πr2 = 1256
4×3.14×r2 = 1256
r2 = 1256×/3.14×4
r2 = 100
r = 10 cm
Total surface area of the hemisphere = 3πr2
= 3×3.14×102
= 3×3.14×100
= 942 cm2
Hence the total surface area of the hemisphere is 942 cm2.
Volume of the hemisphere = (2/3)πr3
= (2/3)×3.14×103
= (2/3)×3.14×1000
= (2/3)×3140
= 6280/3
Hence the volume of the hemisphere is