The base radius of a cylindrical vessel ...

The base radius of a cylindrical vessel full of oil is 30 cm. Oil is drawn at the rate of 27000 cubic cm per minute. Find the rate at which the level of the oil is falling in the vessel.

Text Solution

Verified by Experts

The correct Answer is:

`(30)/pi` cm/sec

Topper's Solved these Questions

RATE OF CHANGE
AAKASH SERIES|Exercise Exercise 6.1 (SHORT ANSWER QUESTIONS)-II|12 Videos
RATE MEASUREMENT
AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE - 1) (LEVEL - 1) (STRAIGHT OBJECTIVE TYPE QUESTION)|43 Videos
REAL FUNCTIONS
AAKASH SERIES|Exercise EXERCISE-1|34 Videos

Similar Questions

Explore conceptually related problems

The bas radius of a cylindrical vessel full of oil is 30 cm. Oil is drawn at the rate of 27000 cubic cm per minute. The rate at which the level of he oul is falling in the vessel is

The radius of a circle is increasing uniformly at the rate of 3 cm/s. Find the rate at which the area of the circle is increasing when the radius is 10 cm.

Sand is being poured on the ground from the orifice of an elevated pipe and from a pile which has always the shape of a right circular cone whose height is equal to the radius of the base. If the sand if falling at the rate of 1000 cubic cm per, sec, the rate at which the height of the pile is rising when the height is 40 cm is

An inverted cone has a depth of 10 cm and a base of radius 5 cm. Wateer is poured in to it at the rate of 1.5 cubic cm per second. The rate at which water is rising when the depth is 4 cm is

The radius of a circular plate is increasing at the rate of 0.01 cm/sec when the radius is 12 cm. Then the rate at which the area increases is

Sand is being poured on the ground from the orifice of an elevated pipe and forms a pile which has always the shape of a right circular cone whose height is equal to the radius of the base. If the sand is falling at the rate of 6 cubic ft per sec, the rate at which the height of the pile is rising when the height is 5 ft is

The side of a square increases at therate of 1 cm per second. The rate at which perimeter increases is

The pressure p and the volume of a gas are connected by the relalson pv=300. If the volume is increasing at the rate of 0.6 cubic cm per minute then find the rate of change in pressure of the gas when the volume is 30 cubic cm.

AAKASH SERIES-RATE OF CHANGE-Advanced Subjective Type Questions

When a circular oil drop expands on water, its area increases at the u...
Text Solution
|
A ladder 20 feet long whose top is resting against a vertical wall on ...
Text Solution
|
A rod of 10 feet long moves with its ends A and B always on the axes o...
Text Solution
|
A man on a wharf 20 mt above the water level, pulls in a rope to which...
Text Solution
|
An aeroplane is flying horizontally at an altitude of 3000 ft directly...
Text Solution
|
A person of height 180 cm starts from a lamp post height 450 cm and wa...
Text Solution
|
The length x of a rectangle is decreasing at the rate of 5 cm/minute a...
Text Solution
|
The side of a square increases at the rate of lem per second. Find the...
Text Solution
|
The side of an equilateral triangle increases at a uniform rate of 0.0...
Text Solution
|
The side of a cube increases at a uniform rate of 0.05cm per sec. Find...
Text Solution
|
Gas is leaking out of a spherical balloon at the rate of 1800 cubic cm...
Text Solution
|
The radius of a sphere increases at the rate of 0.03 cm/sec. Find the ...
Text Solution
|
The radius of a circle is increasing at the rate of 0.7 cm/s. What is ...
Text Solution
|
If the volume of a spherical ball is increasing at the rate of 4pi cc/...
Text Solution
|
The side of a cube is equal to the radius of a sphere. If the side and...
Text Solution
|
The base radius of a cylindrical vessel full of oil is 30 cm. Oil is d...
Text Solution
|
The diameter and the altitude of a circular cylinder are found at a ce...
Text Solution
|
The pressure p and the volume of a gas are connected by the relalson p...
Text Solution
|
A particle is moving in a straight line so that after t seconds its di...
Text Solution
|
A balloon which always remains spherical has a variable diameter 3/2 (...
Text Solution
|