Question

A cylinder has radius 2.5 meters. its volume is 50pi meters. Find its height.

Answer 1

Answer :

• 8 meters .

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Explanation :

• The volume of the cylinder is 50π cubic meters.
• The cylinder has radius 2.5 meters.

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To Find :

• The height of the cylinder.

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Solution :

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We know,

${ \longrightarrow\qquad \bf\pi {r}^{2}h = \bf{Volume_{(cylinder) } }}$

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Where,

• r is the radius of the cylinder.

• h is the height of the cylinder.

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Now, Substituting the values :

${ \longrightarrow\qquad \sf\pi \times {(2.5)}^{2} \times h = {50 \pi } }$

${ \longrightarrow\qquad \sf\pi \times 6.25 \times h = {50 \pi } }$

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Cancelling π from both sides :

${ \longrightarrow\qquad \sf \cancel\pi \times 6.25 \times h = {50 \: \cancel \pi } }$

${ \longrightarrow\qquad \sf 6.25 \times h = {50 } }$

${ \longrightarrow\qquad \sf h = { \dfrac{50}{6.25} } }$

${ \longrightarrow\qquad {\pmb {\bf{h = {8 } }}}}$

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Therefore,

• The height of the cylinder is 8 meters .