Question

1.A conical tank has height 3 m and radius 2 m at the top. Water
flows in at a rate of 1.5 m^{3}/min. How fast is the water
level rising when it is 1.1 m from the bottom of the tank? (Round
your answer to three decimal places.)

2.At a given moment, a plane passes directly above a radar station at an altitude of 6 km. The plane's speed is 900 km/h. How fast is the distance between the plane and the station changing half an hour later? (Assume the plane maintains this speed and altitude over the half hour. Round your answer to three decimal places.)

3.A rocket travels vertically at a speed of 1300 km/hr. The rocket is tracked through a telescope by an observer located 18 km from the launching pad. Find the rate at which the angle between the telescope and the ground is increasing 3 min after lift-off. (Round your answer to two decimal places.)

Answer #1

a conical water tank with the vertex down has a radius of 9feet
at the top and is 23 feet high. If water flows into the tank at a
rate of 30ft^3/min, how fast is the depth of the water increasing
when the water is 17 feet deep? Include units

A conical water tank with vertex down has a radius of 14 feet at
the top and is 21 feet high. If water flows into the tank at a rate
of 20 ft^3/min, how fast is the depth of the water increasing when
the water is 13 feet deep?

A tank originally contains 100 gal of fresh water. Then water
containing
1
2
lb of salt per gallon is poured into the tank at a rate of 2
gal/min, and the mixture is allowed to leave at the same rate.
After 10 min the process is stopped, and fresh water is poured into
the tank at a rate of 3 gal/min,with the mixture again leaving at
the same rate. Find the amount of salt in the tank at the...

A tank originally contains 100 gal of fresh water. Then water
containing 1/2 lb of salt per gallon is poured into the tank at a
rate of 2 gal/min, and the mixture is allowed to leave at the same
rate. After 10 min the process is stopped, and fresh water is
poured into the tank at a rate of 5 gal/min, with the mixture again
leaving at the same rate. Find the amount of salt in the tank at
the...

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