Home
Class 12
MATHS
The radius of a right circular cylinder ...

The radius of a right circular cylinder increases at the rate of 0.1 cm/min, and the height decreases at the rate of 0.2 cm/min. The rate of change of the volume of the cylinder, in `cm^(3)//min`, when the radius is 2 cm and the height is 3 cm is a)`-2pi` b)`-(8 pi)/(5)` c)`-(3pi)/(5)` d)`(2pi)/(5)`

A

`-2pi`

B

`-(8 pi)/(5)`

C

`-(3pi)/(5)`

D

`(2pi)/(5)`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Similar Questions

Explore conceptually related problems

The radius of a cylinder is increasing at a rate of 1 cm//s and its height decreasing at a rate of 1 cm//s . Find the rate of change of its volume when the radius is 5 cm and the height is 5 cm.

The length 'x' of a rectangle is decreasing at the rate of 2cm//s and the width 'y' is increasing at the rate of 2cm//s . Find the rate of change of perimeter.

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 an air bubble is increasing at the rate of 1/2cm//s . At what rate is the volume of the bubble increasing when the radius is 1 cm?

The radius of an air bubble is increasing at the rate of 1/2 cm / s. At what rate is the volume of the bubble increasing when the radius is 1 cm ?

The radius of a cylinder increases at a rate of 1 cm/s and its height decreases at a rate of 1cm/s. Find the rate of change of its volume when the radius is 5 cm and the height is 15 cm. If the volume should not change even when the radius and height are changed, what is the relation between the radius and height?

The radius of a circle is increasing at the rate of 2cm//s . Find the rate at which area of the circle is increasing when radius is 6 cm.