Question

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

Answer 1

Answer:

$\boxed{ \rm \: Volume_{(Cylinder)} \approx \: 461.6 \: {m}^{3} } \rm (rounded \: to \: nearest \: tenth)$

Step-by-step explanation:

Given dimensions:

• Radius of the cylinder = 7 metres
• Height of the cylinder = 3 metres

Given value of π :

• π = 3.14

To find:

• The Volume of the cylinder

Solution:

Here, we'll need to use the formulae of the volume of cylinder,to find it's volume.Its actually like a savior while solving these type of questions.

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

where,

• π = 3.14
• r² = (radius)²
• h = height

Plug/substitute them onto the formulae,then simplify it using PEMDAS.

• [We'll substitute the value of π later]

$\rm \: Volume_{(Cylinder)} = \pi(7) {}^{2} \times 3$

$\rm \: Volume_{(Cylinder)} = \pi(49)(3)$

$\rm \: Volume_{(Cylinder)} = 147\pi \:$

• Now substitute the value of π.

$\rm \: Volume_{(Cylinder)} = 147 \times 3.14$

$\rm \: Volume_{(Cylinder)} = 461.58 \: {m}^{3}$

$\boxed{\rm \: Volume_{(Cylinder)} \approx \: 461.6 \: {m}^{3}} \rm (rounded \: to \: nearest \: tenth) \:$

Hence, we can conclude that:

The volume of the cylinder is approximately

461.6 m³.

$\rule{225pt}{2pt}$