CameraIcon

SearchIcon

MyQuestionIcon

1

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

Volume and Capacity

A container i...

Question

A container is in the shape of an inverted cone has height $8$ m and radius $6$ m at the top. If it is field with water at the rate of $2 m^{3} / m i n u t e$ , how fast is the height of water changing when the level is $4$ m?

A

0.02

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

B

0.04

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

C

0.01

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

D

None of these

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

Open in App

Solution

The correct option is A 0.02

Suggest Corrections

thumbs-up

0

Similar questions

Q. Water is running into an inverted cone at the rate of π cubic metres per minute. The height of the cone is 10 metres, and the radius of its base is 5 m. How fast the water level is rising when the water stands 7.5 m below the base.

Q. A water tank is in the shape of an inverted cone. The radius of the base is

8

meters and the height is

12

meters. The tank is being emptied for cleaning at the rate of

4 {m e t}^{3} / m i n u t e

. Find the rate at which the water level will be decreasing, when the water is

6

Q. Water poured into an inverted conical vessel of which the radius of the base is 2 m and height 4 m, and the rate of 77 litres/minute. The rate at which the water level is rising at the instant when the depth is 70 cm is: (use

π = 22 / 7

Q. An inverted cone has a depth of

40 c m

and a base of radius

5 c m

. Water is poured into it at a rate of

1.5

cubic centimetres per minute. Find the rate at which the level of water in the cone is rising when the depth is

4 c m

Q. A water tank has the shape of an inverted right circular cone with its axis vertical and vertex lowest. Its semi vertical angle is

{tan}^{- 1} (0.5)

. Water is powered into it at a constant rate of

5

cubic meter per minute, then the rate at which the level of the water is rising at the instant when the depth of water in the tank is

10 m

(i n m e t e r / m i n)

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Summary

MATHEMATICS

Watch in App

explore_more_icon

Explore more

Volume and Capacity

Standard IX Mathematics

Join BYJU'S Learning Program

CrossIcon