Find the radius of the biggest ball that can fit inside a 5 cm tall cylinder with a volume of 45 cubic cm.

\frac{3}{\sqrt{π}}

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\frac{4}{π}

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\frac{5}{π}

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\frac{6}{π}

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Solution

The correct option is A $\frac{3}{\sqrt{π}}$ cm
R.E.F image
for biggest ball to fit in
cyl. there rodii are equal
$V = π r^{2} h$
$\Rightarrow 45 = π \times 5 \times r^{2}$
$\Rightarrow r = (3 / \sqrt{π}) c m$

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Find the radius of the biggest ball that can fit inside a 5 cm tall cylinder with a volume of 45 cubic cm.

The correct option is A 3√π cmR.E.F image for biggest ball to fit in cyl. there rodii are equal V=πr2h⇒45=π×5×r2 ⇒r=(3/√π)cm

The correct option is A $\frac{3}{\sqrt{π}}$ cm
R.E.F image
for biggest ball to fit in
cyl. there rodii are equal
$V = π r^{2} h$
$\Rightarrow 45 = π \times 5 \times r^{2}$
$\Rightarrow r = (3 / \sqrt{π}) c m$