Sagot :
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