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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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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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  1. This answer was edited.

    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

    ML Aggarwal Sol Class 10 Maths chapter 17-14

    Hence the volume of the hemisphere is ML Aggarwal Sol Class 10 Maths chapter 17-15

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