find the ratio of total surface area of sphere and a hemisphere of same radius
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Answered by
5
Let the radius of the sphere and the hemisphere be r.
Thus
Total surface area of sphere = 4pir^2
Total surface area of the hemisphere = 3pi r^2.
Thus
T of sphere / T of hemisphere
= 4 pi r^2 / 3 pi r^2.
= 4/3.
Thus
Total surface area of sphere = 4pir^2
Total surface area of the hemisphere = 3pi r^2.
Thus
T of sphere / T of hemisphere
= 4 pi r^2 / 3 pi r^2.
= 4/3.
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3
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Total surface area of sphere =4πr^2 /total surface area of hemisphere =3πr^2 then πr^2 and πr^2 cancel then 4:3 answer
Yep
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