Question

the surface areas of sphere of radius (r) and cube of side (a) are equal then r=​

Answer 1

Given : surface areas of sphere of radius (r) and cube of side (a) are equal  

To find : r in terms of a

Solution:

surface areas of sphere of radius (r) = 4πr²

surface area of cube of side a  = 6a²

surface areas of sphere of radius (r) and cube of side (a) are equal

=> 4πr²  = 6a²

=> 2πr²  = 3a²

=>  r²  = 3a²/ 2π

=> r =  a√(3/2π)

r =  a√(3/2π)

=> r = 0.69a

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