The depth of a pond is 180 cm and is being reduced by 1 cm per week. The depth of a second pond is 160 cm and is being reduced by `1/2` cm per week. If the depths of both ponds continue to be reduced at these constant rates, in about how many weeks will the ponds have the same depth?

An inverted cone has a depth of 40 cm and a base of radius 5 cm. Water is poured into it at a rate of 1.5 cubic centimetres per minutes. Find the rate at which the level of water in the cone is rising when the depth is 4 cm

An inverted cone has a depth of 10cm and a base of radius 5cm. Water is poured into it at the rate of 3/2 c.c.per minute.Find the rate at which the level of water in the cone is rising when the depth is 4cm.

An inverted cone has a depth of 10 cm and a base of radius 5 cm. Wateer is poured in to it at the rate of 1.5 cubic cm per second. The rate at which water is rising when the depth is 4 cm is

The volume of the air bubble increases by 10%, when it rises from bottom to the surface of the water pond. If the temperature of the water is constant, find the depth of the pond. (1 atm = 10m of water column)

The figure shows a pond full of water having the shape of a truncated cone. The depth of the pond is 30 m. The atmospheric pressure above the pond is 1.0xx10^(5) Pa. The circular top surface (radius=R_(2)) and circular bottom surface (radius = R_(1)) of the pond are both parallel to the ground The magnitude of the force acting on the top surface is the same as the magnitude of the force acting on the bottom surface. Obtain

An inverted cone has a depth of 10cm and a base of radius 5cm. Water is poured into it at the rate of 3/2 c.c. per minute. Find the rate at which the level of water in the cone is rising when the depth is 4cm.

An inverted cone has a depth of 10cm and a base of radius 5cm. Water is poured into it at the rate of 3/2 c.c. per minute. Find the rate at which the level of water in the cone is rising when the depth is 4cm.

The depth of a cuboid pond with length of 20 m and breadth of 18.5 m is 3.2 m, determine the time required to irrigate whole water of the pond with a pump having the capacity to irriagate 160 kilolitres water per hour. If that quantity of water is poured on a paddy field with a ridge having the length of 59.2 m and breath of 40 m, then what is the depht of water in that land ? [Let 1 cubic metre=1 kilolitre]