Question

Find the volume of the figure. Round your answer to the nearest tenth if necessary. Use 3.14 for .

A cylinder has a radius of 7 meters and a height of 2 meters.
The volume of the cylinder is approximately
m³.

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Answer 1

`\boxed{\rm \: Volume_((Cylinder)) \approx \: 307.7 \: m {}^(3) } ( \rm \: nearest \: tenth )`

Explanation:

Given:

• radius = 7 metres
• height = 2 metres
• π = 3.14

To Find:

• Volume of the cylinder

Solution:

Use the formulae of the volume of cylinder:

`\boxed{\rm \: Volume_((Cylinder)) = \pi{r} {}^(2) h}`

where,

• π = 3.14
• r = radius
• h = height

According to the question:

• radius = 7 metres
• height = 2 metres

Substitute the values onto the formulae in order to find out the volume:

`\rm \: Volume_((Cylinder)) = \pi(7) {}^(2) (2)`

`\rm \: Volume_((Cylinder)) = \pi(49)(2)`

`\rm \: Volume_((Cylinder)) = 98\pi`

`\rm \: Volume_((Cylinder)) = \: 98 * 3.14`

`\rm \: Volume_((Cylinder)) = 307.72 \: m {}^(3) \: (exact \: form)`

`\boxed{\rm \: Volume_((Cylinder)) \approx \: 307.7 \: m {}^(3) } \: ( \rm nearest \: tenth )`

Hence,we can conclude that:

The volume of the cylinder is approximately

307.7m³.