MyQuestionIcon

1

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Volume of a Cuboid

A cuboidal wa...

Question

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?

A

5 mins

No worries! We‘ve got your back. Try BYJU‘S free classes today!

B

10 mins

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

C

12 mins

No worries! We‘ve got your back. Try BYJU‘S free classes today!

D

15 mins

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

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
$= \frac{60 \times 60 \times 80}{15 \times 32} = 600 seconds = 10 mins$

Suggest Corrections

thumbs-up

0

Similar questions

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?

Q. A rectangular water-tank measuring

80 c m \times 60 c m \times 60 c m

is filled from a pipe of cross-sectional area 1.5

c m^{2},

the water emerging at 3.2 m/s. How long does it take to fill the tank?

A cylindrical tank is filled by pumping water from a cuboidal tank of dimensions 200cm × 150cm × 95 cm. The radius of the cylindrical tank is 60cm and height is 95cm. Find the height(in m) of the water left in the cuboidal tank after the cylindrical tank is completely filled. (Take $π$ = 3.14)

The area of cross section of a pipe is 10 sq. cm and the speed of water flowing throught it is 20 cm/s. How long will it take to fill a tank whose capacity is 240 litres?

Q. A kerosene trader has got an iron tank measuring

1 c m \times 80 c m \times 60 c m

. If this tank is filled with kerosene, how many litres of kerosene would it contain?

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Volume of a Cuboid

MATHEMATICS

Watch in App

explore_more_icon

Explore more

Volume of a Cuboid

Standard X Mathematics

Join BYJU'S Learning Program

CrossIcon