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Q.

If the volume and surface area of a sphere are numerically the same, then the volume of the smallest cylinder in which the sphere exactly kept is

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a

$27 π$

b

$18 π$

c

$26 π$

d

$54 π$

answer is B.

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Detailed Solution

$Volume = surface area$

$\frac{4}{3} π r^{2} = 4 π r^{2}$

$r = 3$

Volume f cylinder that sphere will fit $= π r^{2} h [h = 2 r]$

$= π {(3)}^{2} (2 \times 3)$

$= 54 π$

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