A cylindrical water tank of diameter 1.4 m and 2.1 m is being fed by a – InterviewSolution

1.

A cylindrical water tank of diameter 1.4 m and 2.1 m is being fed by a pipe of diameter 3.5 cm through which water flows at the rate of 2 m/s in how much time will the be filledby

Answer»

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$\sf\underbrace{Given: }$

A cylindrical water tank of diameter 1.4 m and height 2.1 m is being fed by a pipe of diameter 3.5 CM through which water flows at the rate of 2 metre per second. In how much time the tank will be filled?

$\sf\underline\red{Solution:}$

We have,

Diameter of cylindrical tank = 1.4 m
Radius of tank = d/2 = 1.4/2 = 0.7m
Height of tank = 2.1 m

Diameter of pipe FLOWING water in tank = 3.5 cm

Radius of pipe = d/2 = 3.5/2 cm
Rate of FLOW of water = 2 m/s

Time taken to fill the tank = volume of tank / volume of pipe × rate of flow

ㅤㅤ $→$ $\sf{= πr\:‑\:2h\: / \:(πr\:‑\:2 \:×\: 2)}$

$\\$

ㅤㅤ $\\$ $→$ $\sf{=\: (π \:×\: 0.7\: ×\: 0.7 \:× \:2.1)}$ / $\sf{\:(π\: ×\: 3.5/2 × 3.5/2\: × \:2)}$

$\\$

ㅤㅤ $→$ $\sf{=\: 1.029\: / \:6.125}$

$\\$

ㅤㅤ $→$ $\sf{= \:0.168}$

$\\$

ㅤㅤ $→$ $\sf{= \:1680 \:seconds}$

$\\$

ㅤㅤ $→$ $\sf{= \:28 \:minutes.}$

$\\$

∴ Time taken to fill the tank is 28minutes.

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$\sf\underbrace{To\: know\:More: }$

Some Formula of Cylinder

Curved surface AREA of cylinder = 2πrh.

→ Base Area of cylinder = πr²

→ Both Side base Area of cylinder = 2(πr²)

→ Total Surface Area of cylinder = curvedsurface Area + both side base Area = 2πrh + 2πr² = 2πr (h+r)..

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