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 24 cm is

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

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 -2p (b) -(8pi)/5 -(3pi)/5 (d) (2pi)/5

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 -2p (b) -(8pi)/5 -(3pi)/5 (d) (2pi)/5

The volume of a sphere is increasing in volume at the rate of 3picm^(3)//sec . The rate of change of its radius when radius is 1/2 cm

The rate of change of the area of a circle with respect to its radius r at r = 6 cm is

The length x of a rectangle is decreasing at the rate of 5 cm/minute and the width y is increasing at the rate of 4 cm/minute. When x = 8cm and y = 6cm, find the rates of change of (a) the perimeter, and (b) the area of the rectangle.

The length x of a rectangle is decreasing at the rate of 3 cm/minute and the width y is increasing at the rate of 2cm/minute. When x =10cm and y = 6cm, find the rates of change of (a) the perimeter and (b) the area of the rectangle.