Question

What can be the maximum value of the surface area of a sphere inside a hemisphere?

Answer 1

Step-by-step explanation:

The surface area must be divided by 2 for thehemisphere, as it is half a sphere. The area of the circular base of the hemisphere must be added, hence the πr2 term. This gives a ratioof 144π:243π. This can be simplified to 16:27 when both sides are divided by 9π.

Answer 2

radius of such a sphere would be half the radius of the hemisphere

i.e r=R/2

so surface area = 4pi*(R/2)^2

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