If volume and surface area of a sphere are numerically equal, then it's radius is:

2

units

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3

units

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4

units

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5

units

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Solution

The correct option is B $3$ units
Let the radius of the sphere be $r$ Units
So, volume of sphere $= \frac{4}{3} π r^{3}$
And, surface area of sphere $= 4 π r^{2}$
Given, Volume = surface area
$\frac{4}{3} π r^{3} = 4 π r^{2}$
$r = 3$ Units
Therefore, radius of the sphere $= 3$ Units

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If volume and surface area of a sphere are numerically equal, then it's radius is:

The correct option is B 3 unitsLet the radius of the sphere be r Units So, volume of sphere =43πr3And, surface area of sphere =4πr2Given, Volume = surface area 43πr3=4πr2 r=3 UnitsTherefore, radius of the sphere=3 Units

The correct option is B $3$ units
Let the radius of the sphere be $r$ Units
So, volume of sphere $= \frac{4}{3} π r^{3}$
And, surface area of sphere $= 4 π r^{2}$
Given, Volume = surface area
$\frac{4}{3} π r^{3} = 4 π r^{2}$
$r = 3$ Units
Therefore, radius of the sphere $= 3$ Units