Question

A cylinder has a radius 3 inches and height 5 inches. A cone has the same radius and height. What is the volume of the cylinder

Answer 1

✰ Given Information :-

⠀

A cylinder with following dimensions :

• Radius = 3 inches
• Height = 5 inches

⠀

✰ To Find :-

⠀

• The volume of the cylinder

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✰ Formula Used :-

⠀

`\qquad \star \: \underline{ \boxed{ \purple{\sf Volume_(Cylinder) = \pi {r}^(2) h}}} \: \star`

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Where,

• r = radius
• h = height

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✰ Solution :-

⠀

Putting the values in the formula, we get,

⠀

`\sf \longrightarrow Volume=3.14 * {(3)}^(2) * 5 \\ \\ \\ \sf \longrightarrow Volume=3.14 * 45 \: cm \: \: \: \: \: \\ \\ \\ \sf \longrightarrow \underline{ \boxed{ \green{ \frak{Volume= {141 .3 \: cm}^(3) }}}} \: \star \: \: \: \: \: \\`

⠀

Thus, the volume of the cylinder is 141.3 cm³.

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`\underline{ \rule{230pt}{2pt}} \\ \\`

Answer 2

Explanation:

As it is given that, a cylinder has radius 3 inches and height 5 inches and we are to find the volume of the cylinder, also a extra information is given that is a cone has the same radius and height.

`\:`

We know,

`{ \longrightarrow\qquad{\frak {\pmb{Volume_((cylinder) ) = \pi {r}^(2)h }}}} \\ \\`

Where,

• r is the radius of the cylinder.

• h is the height of the cylinder.

• Here, we will take the value of π as 3.14 approximately .

`\:`

Now, we will substitute the given values in the formula :

`\:`

`{ \longrightarrow\qquad{\sf {\pmb{Volume_((cylinder) ) = 3.14 * ( {3})^(2) * 5 }}}} \\ \\`

`{ \longrightarrow\qquad{\sf {\pmb{Volume_((cylinder) ) = 3.14 * 9 * 5 }}}} \\ \\`

`{ \longrightarrow\qquad{\sf {\pmb{Volume_((cylinder) ) = 3.14 * 45 }}}} \\ \\`

`{ \longrightarrow\qquad{\frak {\pmb{Volume_((cylinder) ) = 141.3 }}}} \\ \\`

Note :

• Answer might be different if we take the value of π as 22/7 .