A cylindrical tank of radius 10 m is being filled with wheat at the rate of 314 m^3 per hour . At what rate will the depth of the wheat be increasing ?
The rate of change of the circumference of a circle is 0.3 cm / sec
How fast is its area increasing when its radius is 5 cm ?
A water tank has a rectangular base 1.5 m by 1.2 m.
The sides are vertical and water is being added to the tank at a constant rate of 0.45 m^3 per minute
At what rate is the depth of the water in the tank increasing ?
Volume of a sphere is increasing at a constant rate with respect to time.
Then the rate at which its radius is increasing is ....................
A man 2 m high walks at a uniform speed of 5 m / min away from a lamp-post 6 m high.
The rate at which the length of his shadow increases is .......................
A spherical balloon is being inflated so that its volume increases uniformly at the rate of 40 cm^3 / minute
When the radius is 8m , its surface area is increasing at the rate of .......................
A stone is dropped into a quiet lake and the waves move in a circle at a speed of 4 cm/sec.
At the instant when the radius of the circular wave is 10 cm , the enclosed area increases at the rate of ...........
Two parallel sides of a rectangle are being legthened at the rate of 2 cm / sec while the other two sides are shortened in such a way that the figure remains a rectangle with constant area 50 cm^2 .
What is the rate of change of its perimeter when the legth of the increasing side is 10 cm ?
A ladder 5 m long is leaning against a wall.
The bottom of the ladder is pulled along the ground , away from the walll, at the rate of 2 m / sec .
How fast is its height on the wall decreasing when the foot of the ladder is 4 m away from the wall ?
The sides of an equilateral triangle are increasing at the rate of 2 cm / sec . At what rate will its area be increasing when its side is 10 cm ?