Question

the volume and the surface area of a sphere are numerically equal, then the radius of a sphere is;

Answer 1

Hi friend, Here's the required answer:-
It is given that the volume (V) and Surface Area (SA) of a sphere is equal.
Let the radius of the sphere be 'x'.
So, V= 4/3π(r)³= 4/3πx³.
And, SA = 4πr²=4πx².
According to question,
V=SA
4/3πx³= 4πx²
1/3x³=x²
x³=3x²
x³/x²=3
x=3
Hope this helped u...
Please mark as brainliest answer!!!

Answer 2

Hi friend,
the volume of sphere=$\frac{4}{3}$$\pi$r³
Total surface area of sphere=4$\pi$r²
and,ATQ
$\frac{4}{3}$$\pi$r³=4$\pi$r²
$\frac{4}{3} r$=4
r=3
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