a cylindrical water reservoir has a diameter and it is 6 metres high. the water level in the reservoir is 2 metres from top. what is the volume of the water needed to fill the reservoir to the brim.
Answers
Answer:
π(D/2)² * 2 m³
Step-by-step explanation:
Dimater = D m
Radius = D/2 m
Volume of cylinder = π (radius)² Height
= π(D/2)² * 6
Water level in reservoir = 2m from top
water in reservoir = 6 -2 = 4m
Volume of water in reservoir = π(D/2)² * 4 m³
2 m of height is empty in reservoir
so volume of water needed to fill the reservoir
= π(D/2)² * 2 m³
Answer:
Volume of the water needed to fill the reservoir to the brim = 14000 liters.
(Hope the question is incomplete. Diameter of the cylinder is not provided. For calculation, it is assumed as '3m')
Step-by-step explanation:
Formula needed:
Volume of a cylinder = πr^2h
where,
r is the radius of the cylinder
h is the height of the cylinder
Radius (r) = d/2,
d is the diameter.
Given data:
Let's assume diameter as 3 m.
So, Radius (r) = 3/2 = 1.5 m
Height (h) = 6 m
Water level availability is 2 m from top of the tank.
This means that the tank is filled with water till the height of (h-2) = 6-2 = 4m.
Solution:
Volume of cylindrical water tank = π*1.5^2 * 6 = 42 m^3
Volume of tank to water level water available = π*1.5^2 * 4 = 28 m^3
Volume of tank without water = 42 -28 = 14 m^3.
One cubic meter holds 1000 liters of water.
Volume of water to be added to fill the water till the brim of the tank = 14000 liters.