Question

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A cylinder has a height of 17 centimeters and a radius of 15 centimeters. What is its volume?
Use 3.14 and round your answer to the nearest hundredth.

Answer 1

• 12000 cm³

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Explanation :

We know,

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

Where,

• r is the radius of the cylinder. Here, the radius is 15 cm .

• h is the height of the cylinder. Here, height is 17 cm

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

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Substituting the values in the formula :

`{ \longrightarrow \qquad{ { \sf{ Volume_((cylinder)) = 3.14 * ({15})^(2) * 17 \: }}}}`

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`{ \longrightarrow \qquad{ { \sf{ Volume_((cylinder)) = 3.14 \: * 225 * 17}}}}`

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`{ \longrightarrow \qquad{ { \sf{ Volume_((cylinder)) = 3.14 * 3825 }}}}`

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`{ \longrightarrow \qquad{ \pmb{ \sf{ Volume_((cylinder)) = 12010.5 }}}}`

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Therefore,

• The volume of the cylinder is 12000 cm³ . (Rounded to nearest hundredth)

Answer 2

• Volume of the cylinder is 12016.5 cm³

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Explanation:

Using formula:

`\: \: \: \: \: \: \: \: \: \: {\underline{\boxed {\pmb{ \sf{Volume \: of \: cylinder = \pi r^2h}}}}} \: \pink\star`

`\\`

Where,

• Height of cylinder is 17 cm
• Radius of the cylinder is 15 cm.
• Value of π = 3.14

`\\`

Substituting the required values in the above formula :

`\\`

`\dashrightarrow \sf \: \: Volume = 3.14 * {(15)}^(2) * 17 \\ \\`

`\dashrightarrow \sf \: \: Volume = 3.14 * 225 * 17 \\ \\`

`\dashrightarrow \sf \: \: Volume = 706.5 * 17 \\ \\`

`\dashrightarrow~~{\boxed {\pink{\pmb{\sf {Volume = 12016.5 \: {cm}^(3)}}}}} \\ \\`

Hence,

• Volume of cylinder is 12016.5 cm³