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Q.

The circumference of the base of a cylinder is 12 m and its height is $π$ meters. The volume of the cylinder is

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a

{36 m}^{3}

b

{38 m}^{3}

c

{22 m}^{3}

d

{28 m}^{3}

answer is C.

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Detailed Solution

Question Image

$h = π$

$2 π r = 12$ m

$r = \frac{6}{π}$

Volume $= π r^{2} h$

$= π \times \frac{36}{π^{2}} \times π$

$= 36 m^{3}$

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The circumference of the base of a cylinder is 12 m and its height is π meters. The volume of the cylinder is