A cylinder is having a volume of $231 c m^{3} .$ If the height of cylinder is $6 c m,$ a ball will fit inside the cylinder if its radius is

Circle

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$4 c m$

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$2.5 c m$

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$5 c m$

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Solution

The correct options are
A
Circle

C
$2.5 c m$

Volume of cylinder $= π \times r^{2} \times h$
$\Rightarrow 231 = \frac{22}{7} \times r^{2} \times 6$
$\Rightarrow r^{2} = \frac{231 \times 7}{22 \times 6} = 12.25$

$\Rightarrow r = \sqrt{12.25} = 3.5$
So, a ball will fit inside the cylinder if its radius is less than $3.5 c m$
Thus, options A and C are correct.

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A cylinder is having a volume of 231cm3. If the height of cylinder is 6 cm, a ball will fit inside the cylinder if its radius is

The correct options are A Circle C 2.5 cm Volume of cylinder =π×r2×h ⇒231=227×r2×6 ⇒r2=231×722×6=12.25 ⇒r=√12.25=3.5 So, a ball will fit inside the cylinder if its radius is less than 3.5 cm Thus, options A and C are correct.

A cylinder is having a volume of $231 c m^{3} .$ If the height of cylinder is $6 c m,$ a ball will fit inside the cylinder if its radius is