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

B

40

C

80

D

60

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 r = 3πr2  Thus, the total surface area of the resulting hemisphere = 3πr2 = 3×20=60 Mathematics

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