Math, asked by juhiiii4069, 1 year ago

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

Answered by amitnrw
0

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

Answered by topanswers
0

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.

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