The slant height of a cone is fixed as 7...

The slant height of a cone is fixed as 7 cm. If the rate of increase in tis height os 0.3 cm/sec, then the rate of increase of volume when height 4 cm is

A

`pi//2` cc/sec

B

`pi` cc/sec

C

`pi//5` cc/sec

D

`pi//10` cc/sec

Text Solution

Verified by Experts

The correct Answer is:

D

Promotional Banner

Promotional Banner

Topper's Solved these Questions

APPLICATIONS OF DIFFERENTIATION
DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1D (MEAN VALUE THEOREMS)|28 Videos
APPLICATIONS OF DIFFERENTIATION
DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1E (MAXIMA AND MINIMA)|221 Videos
APPLICATIONS OF DIFFERENTIATION
DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1B (TANGENT AND NORMAL)|205 Videos
ADDITION OF VECTORS
DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 SET - 4|8 Videos
BINOMIAL THEOREM
DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) SET - 4|4 Videos

Similar Questions

Explore conceptually related problems

The slant height of a cone is fixed at 7cm. The rate of increase in the volume of the cone corresponding to the rate of increases of 0.3 cm/s in the hieght when h = 4cm is

The radius of a sphere increases at the rate of 0.03 cm/sec. Find the rate of increase in the volume of the sphere when the radius is 5 cm.

The radius and slant height of a cone are 8 cm and 17 cm respectively. Then its height is

The radius of a circle is increasing at the rate of 0.7 cm/s. What is the rate of increase of its circumference?

The radius of a circle is increasing at the rate of 0.7 cm/s. What is the rate of increase of its circumference?

The volume of a sphere is increasing at the rate of 1200 c.cm/sec. The rate of increase in its surface area when the radius is 10 cm is

The volume of a ball increases at 2pic.c//sec . The rate of increase of radius when the volume is 288pi c.cms is

DIPTI PUBLICATION ( AP EAMET)-APPLICATIONS OF DIFFERENTIATION-EXERCISE 1C (RATE OF CHANGE)

Gas is leaking out of a spherical balloon at the rate of 1800 cubic cm...
Text Solution
|
The volume of a metal hollow sphere is constant. If the outer radius i...
Text Solution
|
The side of a cube is equal to the diameter of a sphere. If the side a...
Text Solution
|
The side of a cube is equal to the radius of a shpere. If the side and...
Text Solution
|
If the rates of increase of side of a cube and radius of a sphere are ...
Text Solution
|
The bas radius of a cylindrical vessel full of oil is 30 cm. Oil is dr...
Text Solution
|
Oil is being filled in a cylindrical tank of diameter 12 mt. The rate ...
Text Solution
|
Water is flowing into cylindrical tank of radius 7 ft in the rate of 2...
Text Solution
|
The diameter and altitude of a right circular cylinder are found at a ...
Text Solution
|
The diameter and altitude of a right circular cylinder are found at a ...
Text Solution
|
An inverted cone has a depth of 10 cm and a base of radius 5 cm. Watee...
Text Solution
|
The radius of the base and depth of a conical funnel are 20 cm and 40 ...
Text Solution
|
Water is being poured in to the inverted conical vessel at the rate of...
Text Solution
|
Sand is being poured on the ground from the orifice of an elevated pip...
Text Solution
|
Sand is being poured on the ground from the orifice of an elevated pip...
Text Solution
|
Water flows into a conical vessel at the rate of 5 cubic cm per second...
Text Solution
|
A conical vessel of height 10 ft and semivertical angle 30^@ is full o...
Text Solution
|
The radius of the base of a cone is increasing at the rate of 3 cm/min...
Text Solution
|
The slant height of a cone is fixed as 7 cm. If the rate of increase i...
Text Solution
|
If the semivertical angle of a cone is 45^@ then the rate of change of...
Text Solution
|