Question

If the area of ​​curvature of a sphere is square A, what is the length of the sphere?

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Answer 1

FINAL ANSWER:-

$A\sqrt{\frac{7}{22}}$

GIVEN:-

the area of ​​curvature of a sphere is A²

TO FIND:-

the length of the sphere

FORMULA USED:-

$area\:of\:sphere=4\pi r^{2}$

SOLUTION:-

area of ​​curvature of a sphere =A²

$4\pi r^2=A^2\\4*\frac{22}{7}*r^{2}=A^{2}\\\frac{88}{7}*r^{2}=A^{2}\\r^{2}=\frac{7}{88}A^{2}\\r=\sqrt{\frac{7}{88}A^{2}} \\r=\frac{A}{2}\sqrt{\frac{7}{22}}$

length of sphere (d) = 2r

so

length of sphere = $2(\frac{A}{2}\sqrt{\frac{7}{22}} )$ ⇒ $\frac{2A}{2}\sqrt{\frac{7}{22}}$ ⇒ $A\sqrt{\frac{7}{22}}$

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Answer 2

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