A cuboidal water tank measuring 80 cm × 60 cm × 60 cm is filled from a pipe of cross sectional area 1.5 $c m^{2}$ . If speed of water is 3.2 m/s, then how long does it take to fill the tank?

5 mins

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10 mins

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12 mins

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15 mins

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Solution

The correct option is B
10 mins

Given that the tank is cuboidal.
We know, volume of a cuboid of dimensions l×b×h is lbh.
Hence, volume of water tank = (80 x 60 x 60) $c m^{3}$
Given, area of cross section = 1.5 $c m^{2}$
and speed of water = 3.2 m/s = 320 cm/s

Therefore, volume of water flowing in one second
= area of cross section × speed of water
= 1.5 x 320
= 15 x 32 $c m^{3}$

$∴$ Time taken to fill the entire tank
$= \frac{60 \times 60 \times 80}{15 \times 32} = 600 seconds = 10 mins$

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A cuboidal water tank measuring 80 cm × 60 cm × 60 cm is filled from a pipe of cross sectional area 1.5 cm2. If speed of water is 3.2 m/s, then how long does it take to fill the tank?

A cuboidal water tank measuring 80 cm × 60 cm × 60 cm is filled from a pipe of cross sectional area 1.5 $c m^{2}$ . If speed of water is 3.2 m/s, then how long does it take to fill the tank?