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worty [1.4K]
2 years ago
10

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

Mathematics
1 answer:
sp2606 [1]2 years ago
8 0

Answer:

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

Step-by-step 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 \times 3.14

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

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

<u>Hence,we can conclude that:</u>

The volume of the cylinder is approximately

307.7m³.

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