Respuesta :
Answer:
Total volume of water that can be collected in the tank = [tex]15,700\ cm^3[/tex]
Step-by-step explanation:
Given dimensions of the cylindrical storage tank :
Diameter= 50 cm
Height = 80 cm
To find the total volume of water that can be collected in the tank.
Solution:
In order to find the total volume of water that can be collected in the tank, we will need to find the volume of the tank as that would be equal to the volume of water filled in the tank.
Volume of a cylinder = [tex]\pi\ r^2h[/tex]
where [tex]r[/tex] represent radius of the cylinder and [tex]h[/tex] represent height of the cylinder.
The radius of the tank would be = [tex]\frac{Diameter}{2}=\frac{50\ cm}{2}=25\ cm[/tex]
Height = 80 cm
Volume of the cylindrical tank = [tex]\pi\ (25)^2(80)[/tex]
⇒ [tex]3.14\times 25^2\times 80[/tex] (taking the value of π=3.14)
⇒ [tex]3.14\times 625\times 80[/tex]
⇒ [tex]15700\ cm^3[/tex]
∴ Total volume of water that can be collected in the tank = [tex]15,700\ cm^3[/tex]
