Question

if the radius of a sphere is equal to the diameter of a hemisphere find the ratio of volume of Sphere to that of the hemisphere

Answer 1

$$ hey buddy ,,,,,

❇❇ radius of sphere = diameter of hemisphere..

we have,volume of Sphere = 4/3πr^3==(1)

Volume of hemisphere= 2/3πr^3==(2)

then given that , r (sphere)= d(hemisphere)

then modifying equation

we get, vol of hemisphere= 2/3π(d/2)^3==(3)

since d= r substitue in 3

then the ratio of vol of sphere to hemisphere...

= 4/3πr^3/ 2/3πr^3/8

= 16: 1 is the ratio.

hope it helps u

Answer 2

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