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 `c m^2//m in` , when the radius is `2c m` and the height is 3cm is (a) `-2pi` (b) `-(8pi)/5` `-(3pi)/5` (d) `(2pi)/5`

Text Solution

AI Generated Solution

Promotional Banner

Similar Questions

Explore conceptually related problems

The radius of a right circular cylinder increases at the rate of 0.2 cm/sec and the height decreases at the rate of 0.1 cm/sec. The rate of change of the volume of the cylinder when the radius is 1 cm and the height is 2 cm is

The radius of a cylinder is increasing at the rate of 3 cm /sec and its height is decreasing at the rate of 4 cm/sec. The rate of change of its volume when radius is 4 cm and height is 6 cm , is a

The radius of a cylinder is increasing at the rate 2cm/sec. and its altitude is decreasing at the rate of 3cm/sec. Find the rate of change of volume when radius is 3 cm and altitude 5 cm.

The radius of a cylinder is increasing at the rate 2cm/sec. and its altitude is decreasing at the rate of 3cm/sec. Find the rate of change of volume when radius is 3 cm and altitude 5 cm.

The radius of a circular plate increase at the rate of 0.1 cm per second. At what rate does the area increase when the radius of plate is 5/pi cm ?

The radius of a sphere is increasing at the rate of 0.2 cm/sec. The rate at which the volume of the sphere increases when radius is 15 cm, is

The radius of the base of a cone is increasing at the rate of 3 cm/min and the altitude is decreasing at the rate of 4 cm/min. The rate of change of lateral surface when the radius is 7 cm and altitude is 24cm is (a) 108pic m^2//min (b) 54pic m^2//min (c) 27pic m^2//min (d) none of these

The radius of the base of a cone is increasing at the rate of 3 cm/min and the altitude is decreasing at the rate of 4 cm/min. The rate of change of lateral surface when the radius is 7 cm and altitude is 24cm is (a) 108pic m^2//min (b) 7pic m^2//min (c) 27pic m^2//min (d) none of these

The radius of the base of a cone is increasing at the rate of 3 cm/min and the altitude is decreasing at the rate of 4 cm/min. The rate of change of lateral surface when the radius is 7 cm and altitude is 24cm is 108pic m^2//min (b) 7pic m^2//min 27pic m^2//min (d) none of these

The radius of a cyclinder is increasing 2 cm/ sec and its altitude is decreasing at the rate of 3 cm/ sec Find the rate of change of volume when radius is 3 cm and altitude is 5cm.