A spherical tank for natural gas has a radius of 7m. About how many cubic meters of natural gas can hold it.

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Answer:

Answer:

A spherical tank for natural gas has a radius of 7 meters. About how many cubic meters of natural gas can it hold?

It can hold 1436.03m³ of natural gas.

Step-by-step Explanation:

What is asked?

How many cubic meters of natural gas can it hold?

2. Given:

radius of a spherical tank - 7m

3. Formula:

Volume of a Sphere

v = ⁴⁄₃πr³

* four-thirds times pi times the radius cubed

* v is the volume.

* The value of π is 3.14.

* r is the radius. If you don't have the radius, you can find it by dividing the diameter by 2.

4. Solution:

v = ⁴⁄₃πr³

= ⁴⁄₃(3.14)(7m)³

= ⁴⁄₃(3.14)(343m³)

= 1436.03m³

5. Final Answer:

It can hold 1436.03m³ of natural gas.

Facts about the Volume of a Sphere

The formula in getting the volume of a sphere was discovered over two thousand years ago by the Greek philosopher Archimedes.

Archimedes also realized that the volume of a sphere is exactly two thirds the volume of its circumscribed cylinder, which is the smallest cylinder that can contain the sphere.

In the formula v = ⁴⁄₃πr³, ⁴⁄₃ and π that is equal to 3.14 are constant. We can simplify the formula to 4.19r³.

For more word problems about volume of a sphere, visit the links below.

brainly.ph/question/2454497

brainly.ph/question/1773740

brainly.ph/question/2160767

Step-by-step explanation:

Volume

[tex]____________________________________[/tex]

Qiestion :

A spherical tank for natural gas has a radius of 7m. About how many cubic meters of natural gas can hold it.

Given :

  • Radius : 7 meters

Formula :

  • [tex]\large\tt\color{green}V = \frac{4}{3} \pi r {}^{3} [/tex]

Solution :

  • [tex]\large\tt\color{green}V = \frac{4}{3} \pi r {}^{3} [/tex]
  • [tex]\large\tt\color{green}V = \frac{4}{3} (3.14)(7 \: m) {}^{3} [/tex]
  • [tex]\large\tt\color{red}V = |1 \: 436.02 \: m {}^{3} | [/tex]

Hence, the spherical tank can hold 1,436.02 cubic meters of natural gas.

Click the link below for more Volume Word Problems and it's definition :

https://brainly.in/question/609711