be is xand the radius of sphere is r show that the surface area is â(4ÏX^2 )

Guest Mar 24, 2017

#1**+1 **

Volume of cube = x^3

Volume of sphere = (4/3)pi* r^3

And

3(4/3)pi * r^3 = x^3

4pi * r^3 = x^3

r^3 = x^3 / [ 4pi] take the cube root of both sides

r = x / (4pi)^(1/3) → r^2 = x^2 / (4pi)^(2/3)

Surface area of sphere =

4pi * r^2 = 4pi * (x^2) / (4pi)^(2/3) = (4pi)^(1/3)*x^2 = ∛[4pi] * x^2

CPhill
Mar 24, 2017