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Question

The total surface area of a solid sphere is 80 cm. It is split into two hemispheres. What is the surface area of the resulting hemisphere?



A

20

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B

40

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C

80

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D

60

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Solution

The correct option is D

60


We know that the Total Surface Area of a sphere of radius r = 4πr2
Given that  4πr2 = 80
πr2=20 
Now, the total surface area of a hemisphere of radius r3πr2 
Thus, the total surface area of the resulting hemisphere = 3πr2 = 3×20=60


Mathematics

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